Math

GeometryElementary Geometry For College Students, 7eA drug manufacturing company wants to manufacture a capsule that contains a spherical pill inside. The diameter of the pill measures 4 mm. and the capsule is cylinder with hemispheres on either end. The length of capsule between the two hemispheres is 10mm. What is the exact volume that the capsule will hold? Excluding the volume of the pill?BuyFind*arrow_forward*

7th Edition

Alexander + 2 others

Publisher: Cengage,

ISBN: 9781337614085

Chapter 9.CR, Problem 27CR

Textbook Problem

A drug manufacturing company wants to manufacture a capsule that contains a spherical pill inside. The diameter of the pill measures 4 mm. and the capsule is cylinder with hemispheres on either end. The length of capsule between the two hemispheres is 10mm. What is the exact volume that the capsule will hold? Excluding the volume of the pill?

Elementary Geometry For College Students, 7e

Show all chapter solutions

Ch. 9.1 - Consider the solid shown. a Does it appear to be a...Ch. 9.1 - Consider the solid shown. a Does it appear to be a...Ch. 9.1 - Consider the hexagonal prism shown in Exercise 1....Ch. 9.1 - Consider the triangular prism shown in Exercise 2....Ch. 9.1 - If each edge of the hexagonal prism in Exercise 1...Ch. 9.1 - If each edge of the triangular prism in Exercise...Ch. 9.1 - Suppose that each of the bases of the hexagonal...Ch. 9.1 - Suppose that each of the bases of the triangular...Ch. 9.1 - Suppose that each of bases of the hexagonal prism...Ch. 9.1 - Suppose that each of the bases of the triangular...

Ch. 9.1 - A solid is an octagonal prism. a How many vertices...Ch. 9.1 - A solid is a pentagonal prism. a How many vertices...Ch. 9.1 - Generalize the results found in Exercise 11 and 12...Ch. 9.1 - In the accompanying regular pentagonal prism,...Ch. 9.1 - In the regular pentagonal prism shown above,...Ch. 9.1 - For the right triangular prism, suppose that the...Ch. 9.1 - For the right triangular prism found in Exercise...Ch. 9.1 - Given that 100 cm =1 m, find the number of cubic...Ch. 9.1 - Given that 12 in. =1 ft, find the number of cubic...Ch. 9.1 - Find the volume and the surface area of a closed...Ch. 9.1 - Find the volume and the surface area of a closed...Ch. 9.1 - A cereal box measures 2 in. by 8 in. by 10 in....Ch. 9.1 - The measures of the sides of the square base of a...Ch. 9.1 - For a given box, the height measures 4 m. If the...Ch. 9.1 - For the box shown, the total area is 94 cm2....Ch. 9.1 - If the volume of the box is 252 in3, find the...Ch. 9.1 - The box with dimensions indicated is to be...Ch. 9.1 - A hollow steel door is 32 in. wide by 80 in. tall...Ch. 9.1 - A storage shed is in the shape of a pentagonal...Ch. 9.1 - A storage shed is in the shape of a trapezoidal...Ch. 9.1 - A cube is a right square prism in which all edges...Ch. 9.1 - Use the formulas and drawing in Exercise 31 to...Ch. 9.1 - When the length of each edge of a cube is...Ch. 9.1 - The numerical value of the volume of a cube equals...Ch. 9.1 - The sum of the lengths of all edges of a cube is...Ch. 9.1 - Alekzio plans to pour a 4 in. thick concrete pad....Ch. 9.1 - Zaidah plans a raised flower bed 2 ft high by 12...Ch. 9.1 - In excavating for a new house, the Philpott...Ch. 9.1 - Kristine creates an open box by cutting congruent...Ch. 9.1 - As in Exercise 39, find the volume of the box if...Ch. 9.1 - For Exercise 41 to 44, 1 ft3 of liquid corresponds...Ch. 9.1 - For Exercise 41 to 44, 1 ft3 of liquid corresponds...Ch. 9.1 - For Exercise 41 to 44, 1 ft3 of liquid corresponds...Ch. 9.1 - For Exercise 41 to 44, 1 ft3 of liquid corresponds...Ch. 9.1 - For Exercise 45 to 47, consider the oblique...Ch. 9.1 - For Exercise 45 to 47, consider the oblique...Ch. 9.1 - For Exercise 45 to 47, consider the oblique...Ch. 9.1 - It can be shown that the length of a diagonal of a...Ch. 9.1 - A diagonal of a cube joins two vertices so that...Ch. 9.2 - In Exercises 1 to 4, name the solid that is shown....Ch. 9.2 - In Exercises 1 to 4, name the solid that is shown....Ch. 9.2 - In Exercises 1 to 4, name the solid that is shown....Ch. 9.2 - In Exercises 1 to 4, name the solid that is shown....Ch. 9.2 - In the solid shown, base ABCD is a square. a Is...Ch. 9.2 - In the pyramid shown in Exercise 6 on page 416,...Ch. 9.2 - Consider the square pyramid in Exercise 5. a How...Ch. 9.2 - Consider the hexagonal pyramid in Exercise 6. a...Ch. 9.2 - Suppose that the lateral faces of the pyramid in...Ch. 9.2 - Suppose that the base of the hexagonal pyramid in...Ch. 9.2 - Suppose that the base of the square pyramid in...Ch. 9.2 - Suppose that the base of the hexagonal pyramid in...Ch. 9.2 - Assume that the number of sides in the base of a...Ch. 9.2 - Refer to the prisms of Exercises 1 and 2. Which of...Ch. 9.2 - Refer to the pyramids of Exercises 3 and 4. Which...Ch. 9.2 - Refer to the prisms of Exercises 1 and 2. Which of...Ch. 9.2 - Refer to the pyramids of Exercises 3 and 4. Which...Ch. 9.2 - Consider any regular pyramid. Indicate which line...Ch. 9.2 - Consider any regular pyramid. Indicate which line...Ch. 9.2 - In Exercises 20 and 21, use Theorem 9.2.1 in which...Ch. 9.2 - In Exercises 20 and 21, use Theorem 9.2.1 in which...Ch. 9.2 - In a regular pentagonal pyramid, each lateral edge...Ch. 9.2 - In a regular pentagonal pyramid, each base edge...Ch. 9.2 - For the regular square pyramid shown, suppose that...Ch. 9.2 - For the regular square pyramid shown, suppose that...Ch. 9.2 - The figure below is a regular hexagonal pyramid. a...Ch. 9.2 - For a regular square pyramid, suppose that the...Ch. 9.2 - For a regular square pyramid, the slant height of...Ch. 9.2 - A church steeple in the shape of a regular square...Ch. 9.2 - Before the shingles of the steeple see Exercise 29...Ch. 9.2 - A teepee is constructed by using 12 poles. The...Ch. 9.2 - For its occupants to be protected from the...Ch. 9.2 - The street departments storage building, which is...Ch. 9.2 - The foyer planned as an addition to an existing...Ch. 9.2 - The exhaust chute on a wood chipper has the shape...Ch. 9.2 - A popcorn container at a movie theatre has the...Ch. 9.2 - A regular tetrahedron is a regular triangular...Ch. 9.2 - Each edge of a regular tetrahedron see Exercise 37...Ch. 9.2 - Exercise 39 and 40 are based upon the uniqueness...Ch. 9.2 - Exercise 39 and 40 are based upon the uniqueness...Ch. 9.2 - Consider the accompanying figure. When the four...Ch. 9.2 - Find the volume of the regular square pyramid that...Ch. 9.2 - Where e1 and e2 are the lengths of two...Ch. 9.2 - Use the information from Exercise 43 to find the...Ch. 9.2 - A hexagonal pyramid not regular with base ABCDEF...Ch. 9.3 - Does a right circular cylinder such as an aluminum...Ch. 9.3 - Does a right circular cone such as a wizards cap...Ch. 9.3 - For the right circular cylinder, r=3.2 cm and...Ch. 9.3 - For the right circular cylinder, r=1.75 in. and...Ch. 9.3 - For the right circular cylinder, suppose that r=5...Ch. 9.3 - Suppose that r=12 cm and h=15 cm in the right...Ch. 9.3 - The tin can shown at the right has the indicated...Ch. 9.3 - What is the volume of the tin can? If it contains...Ch. 9.3 - If the exact volume of a right circular cylinder...Ch. 9.3 - Suppose that the volume of an aluminum can is to...Ch. 9.3 - For an aluminum can, the lateral surface area is...Ch. 9.3 - Find the height of a storage tank in the shape of...Ch. 9.3 - Find the volume of the oblique circular cylinder....Ch. 9.3 - A cylindrical orange juice container has metal...Ch. 9.3 - In Exercises 15 to 20, use that fact that r2+h2=l2...Ch. 9.3 - In Exercises 15 to 20, use that fact that r2+h2=l2...Ch. 9.3 - In Exercises 15 to 20, use that fact that r2+h2=l2...Ch. 9.3 - In Exercises 15 to 20, use that fact that r2+h2=l2...Ch. 9.3 - In Exercises 15 to 20, use that fact that r2+h2=l2...Ch. 9.3 - In Exercises 15 to 20, use that fact that r2+h2=l2...Ch. 9.3 - The oblique circular cone has an altitude and a...Ch. 9.3 - For the accompanying right circular cone, h=6 m...Ch. 9.3 - For the right circular cone shown in Exercise 22,...Ch. 9.3 - Rukia discovers that the teepee with a circular...Ch. 9.3 - A rectangle has dimensions of 6 in. by 3 in. Find...Ch. 9.3 - A rectangle has dimensions of 6in. by 3 in. Find...Ch. 9.3 - A triangle has sides that measure 15 cm, 20 cm,...Ch. 9.3 - A triangle has sides that measure 15 cm, 20 cm,...Ch. 9.3 - A triangle has sides that measure 15 cm, 20 cm,...Ch. 9.3 - Where r is the length of the radius of a sphere,...Ch. 9.3 - If a right circular cone has a circular base with...Ch. 9.3 - A right circular cone has a slant height of 12 ft...Ch. 9.3 - A solid is formed by cutting a conical section...Ch. 9.3 - In Exercises 34 and 35, give a paragraph proof for...Ch. 9.3 - In Exercises 34 and 35, give a paragraph proof for...Ch. 9.3 - For a right circular cone, the slant height has a...Ch. 9.3 - For a right circular cone, the ratio of the slant...Ch. 9.3 - If the length of the radius and the height of a...Ch. 9.3 - For the two similar cylinders in Exercise 38, what...Ch. 9.3 - For a right circular cone, the dimensions are r=6...Ch. 9.3 - A cylindrical storage tank has a depth of 5 ft and...Ch. 9.3 - If the tank in Exercises 41 needs to be painted...Ch. 9.3 - A frustum of a cone is the portion of the cone...Ch. 9.3 - In Exercises 44 and 45, use the formula from...Ch. 9.3 - In Exercises 44 and 45, use the formula from...Ch. 9.3 - An oil refinery has storage tanks in the shape of...Ch. 9.3 - Richard has a fuel tank in the shape of a right...Ch. 9.3 - When radii OA and OB are placed so that they...Ch. 9.3 - A lawn roller in the shape of a right circular...Ch. 9.4 - Which of these two polyhedrons is concave? Note...Ch. 9.4 - For Figure a of Exercise 1, find the number of...Ch. 9.4 - For figure b of Exercise 1, find the number of...Ch. 9.4 - For a regular tetrahedron, find the number of...Ch. 9.4 - For a regular hexahedron, find the number of...Ch. 9.4 - A regular polyhedron has 12 edges and 8 vertices....Ch. 9.4 - A regular polyhedron has 12 edges and 6 vertices....Ch. 9.4 - A polyhedron not regular has 10 vertices and 7...Ch. 9.4 - A polyhedron not regular has 14 vertices and 21...Ch. 9.4 - In Exercises 10 to 12, the probability is the...Ch. 9.4 - In Exercises 10 to 12, the probability is the...Ch. 9.4 - In Exercises 10 to 12, the probability is the...Ch. 9.4 - In sphere O, the length of radius OP- is 6 in....Ch. 9.4 - Find the approximate surface area and volume of...Ch. 9.4 - Find the total area surface area of a regular...Ch. 9.4 - Find the total area surface area of a regular...Ch. 9.4 - Find the total area surface area of a regular...Ch. 9.4 - Find the total area surface area of a regular...Ch. 9.4 - The total area surface area of a regular...Ch. 9.4 - The total area surface area of a regular...Ch. 9.4 - Find the approximate volume of a sphere with...Ch. 9.4 - Find the approximate volume of a sphere with...Ch. 9.4 - The surface of a soccer ball is composed of 12...Ch. 9.4 - A calendar is determined by using each of the 12...Ch. 9.4 - A sphere is inscribed within a right circular...Ch. 9.4 - In calculus, it can be shown that the largest...Ch. 9.4 - Given that a regular polyhedron of n faces is...Ch. 9.4 - A right circular cone is inscribed in a sphere. If...Ch. 9.4 - A sphere is inscribed in a right circular cone...Ch. 9.4 - In Exercises 31 and 32, use the calculator value...Ch. 9.4 - In Exercises 31 and 32, use the calculator value...Ch. 9.4 - A sphere has a volume equal to 997in3. Determine...Ch. 9.4 - A sphere has a surface area equal to 154in2....Ch. 9.4 - The spherical storage tank described in Example 5...Ch. 9.4 - An observatory has the shape of a right circular...Ch. 9.4 - A leather soccer ball has an inside diameter...Ch. 9.4 - An ice cream cone is filled with ice cream as...Ch. 9.4 - For Exercises 39 to 44, make drawings as needed....Ch. 9.4 - For Exercises 39 to 44, make drawings as needed....Ch. 9.4 - For Exercises 39 to 44, make drawings as needed....Ch. 9.4 - For Exercises 39 to 44, make drawings as needed....Ch. 9.4 - For Exercises 39 to 44, make drawings as needed....Ch. 9.4 - For Exercises 39 to 44, make drawings as needed....Ch. 9.4 - Suppose that a semicircular region with a vertical...Ch. 9.4 - Suppose that a semicircular region with vertical...Ch. 9.4 - Sketch the torus that results when the given...Ch. 9.4 - Sketch the solid that results when the given...Ch. 9.4 - Explain how the following formula used in Example...Ch. 9.4 - Derive a formula for the total surface area of the...Ch. 9.CR - Each side of the base of a right octagonal prism...Ch. 9.CR - The base of a right prism is a triangle whose...Ch. 9.CR - The height of a square box is 2 in. more than...Ch. 9.CR - The base of a right prism is a rectangle whose...Ch. 9.CR - The base of a right prism is a triangle whose...Ch. 9.CR - The base of a right prism is a regular hexagon...Ch. 9.CR - A regular square pyramid has a base whose sides...Ch. 9.CR - A regular hexagonal pyramid has a base whose sides...Ch. 9.CR - The radius of the base of a right circular cone...Ch. 9.CR - The diameter of the base of a right circular cone...Ch. 9.CR - The slant height of a regular square pyramid...Ch. 9.CR - The base of a regular pyramid is an equilateral...Ch. 9.CR - The radius length of the base of a right circular...Ch. 9.CR - a For the through in the shape of half-cylinder,...Ch. 9.CR - The slant height of a right circular cone is 12...Ch. 9.CR - The volume of the right circular cone is 96 in. If...Ch. 9.CR - Find the surface area of a sphere if the radius...Ch. 9.CR - Find the volume of a sphere if the diameter has...Ch. 9.CR - The solid shown consists of a hemisphere half of a...Ch. 9.CR - If the radius length of one sphere is three times...Ch. 9.CR - Find the volume of the solid of revolution that...Ch. 9.CR - Find the exact volume of the solid of revolution...Ch. 9.CR - Find the exact volume of the solid of revolution...Ch. 9.CR - A plastic pipe is 3 ft long and has an inside...Ch. 9.CR - A sphere with a diameter length of 14 in. is...Ch. 9.CR - a A regular octahedron has _________________ faces...Ch. 9.CR - A drug manufacturing company wants to manufacture...Ch. 9.CR - For each of the following solids, verify Eulers...Ch. 9.CR - Find the volume of cement used in the block shows.Ch. 9.CR - Given a die in the shape of a regular octahedron,...Ch. 9.CR - Find the total surface area of a a regular...Ch. 9.CR - Three spheres are externally tangent to each other...Ch. 9.CT - For the regular pentagonal prism shown below, find...Ch. 9.CT - For the regular pentagonal base, each edge...Ch. 9.CT - For the regular square pyramid shown, find the...Ch. 9.CT - For the regular square pyramid shown above, find a...Ch. 9.CT - For the regular square pyramid shown, find the...Ch. 9.CT - Find the height of the regular square pyramid...Ch. 9.CT - Find the volume of the regular square pyramid...Ch. 9.CT - Determine whether the statement is true or false....Ch. 9.CT - Determine whether the statement is true or false....Ch. 9.CT - Recall Eulers equations, V+F=E+2. For a certain...Ch. 9.CT - Find the slant height of the right circular cone...Ch. 9.CT - For the right circular cylinder shown, r=4 cm and...Ch. 9.CT - The exact volume of a right circular cone not...Ch. 9.CT - Assume that a die used for gaming is in the shape...Ch. 9.CT - A spherical storage tank filled with water has a...Ch. 9.CT - A pump moves water at a rate of 8ft3 per minute....

Find more solutions based on key concepts

Show solutions Verifying a Parallelogram In Exercises 71 and 72, use vectors to show that the points form the vertices of a pa...

Calculus: Early Transcendental Functions

In Exercises 6-8, sketch the graph of the equation and label the intercepts. y=5x+2

Calculus: An Applied Approach (MindTap Course List)

Writing One Trigonometric Expression in Terms of Another Write the first expression in terms of the second if t...

Precalculus: Mathematics for Calculus (Standalone Book)

In Exercises 13 to 22, insert either or in the blank space between the sets to make a true statement. {red, w...

Mathematical Excursions (MindTap Course List)

Solve the differential equation using the method of variation of parameters. 25. y3y+2y=11+ex

Multivariable Calculus

In Exercises 2340, find the indicated limit. 28. limt3(4t22t+1)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

You are examining two data sets involving test scores, set A and set B. The score 86 appears in both data sets....

Understanding Basic Statistics

In Exercises 2330, factor each expression and simplify as much as possible. (x2+1)5(x+3)4+(x2+1)6(x+3)3

Finite Mathematics and Applied Calculus (MindTap Course List)

When measuring height to the nearest half inch, what are the real limits for a score of 69.0 inches? a. 68 and ...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Find all values of r such that the parabolas y = 4x2 and x = c + 2y2 intersect each other at right angles.

Single Variable Calculus: Early Transcendentals, Volume I

Two sociologists administered questionnaires to samples of undergraduates that measured attitudes toward interp...

Essentials Of Statistics

Once an individual has been infected with a certain disease, let X represent the time (days) that elapses befor...

Probability and Statistics for Engineering and the Sciences

Evaluate the integral. 03(1+6w210w4)dw

Calculus: Early Transcendentals

By any method, determine all possible real solutions of each equation in Exercises 1330. Check your answers by ...

Finite Mathematics

A circular disk of radius r is used in an evaporator and is rotated in a vertical plane. If it is to be partial...

Calculus (MindTap Course List)

On an exam with a mean of M=78 , you obtain a score of X=84 . Would you prefer a standard deviation of s=2 or s...

Statistics for The Behavioral Sciences (MindTap Course List)

Simplify the algebraic expressions in Problems 1-14 by com- bining similar terms. Objective 1 15x4+6x9

Intermediate Algebra

What is an increasing function?

Single Variable Calculus

Perform the indicated operations and simplify: 1538

Elementary Technical Mathematics

In Problems 15-40, use properties of limits and algebraic methods to find the limits, if they exist.
34.

Mathematical Applications for the Management, Life, and Social Sciences

Solve the equations in Exercises 126. (x2+1)x+1(x+1)3=0

Applied Calculus

One-third of the checking accounts at the Community Bank earn interest. If 2,500 accounts are this type, how ma...

Contemporary Mathematics for Business & Consumers

Matching In Exercises 7-12, match the polar equation with its correct graph. [The graphs are labeled (a), (b), ...

Calculus of a Single Variable

Prove that the equalities in Exercises hold for all in . Assume only the basic postulates for and those prop...

Elements Of Modern Algebra

Graph the curve and visually estimate its length. Then use your calculator to find the length correct to four d...

Single Variable Calculus: Early Transcendentals

Distance A ship is anchored off a long straight shoreline that runs north and south. From Iwo observation point...

Trigonometry (MindTap Course List)

Find the accumulated amount at the end of 9months on an 800 deposit in a bank paying simple interest at a rate ...

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding Vertical Asymptotes In Exercises 6976, find the vertical asymptotes (if any) of the graph of the functi...

Calculus: Early Transcendental Functions (MindTap Course List)

The behavior of undergraduate students when exposed to various odors was examined by the authors of the article...

Introduction To Statistics And Data Analysis

True or False:
If converges absolutely, then it converges conditionally.

Study Guide for Stewart's Multivariable Calculus, 8th

Solve the following exercises based on Principles 15-17, although an exercise may require the application of tw...

Mathematics For Machine Technology

Changing the Order of Integration In Exercises 45-50. sketch the region R of integration and change the order o...

Multivariable Calculus

Bicycling, the worlds leading cycling magazine, reviews hundreds of bicycles throughout the year. Their Road-Ra...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

A random variable is normally distributed with a mean of m = 50 and a standard deviation of = 5. a. Sketch a n...

Statistics for Business & Economics, Revised (MindTap Course List)

Writing a Vector in Different Forms to Exercises 9-16, the initial and terminal points of a vector v are given....

Calculus (MindTap Course List)

Explain how to determine the domain of the composition of the two functions.

College Algebra (MindTap Course List)

The purpose of an independent-measures t-test is to determine whether the mean difference obtained between two ...

Research Methods for the Behavioral Sciences (MindTap Course List)

Let limxaf(x)=L. For 0 pictured at the right, what is the best choice for in the limit definition? a) p b) q c...

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Pessimists commonly claim that, if you drop a piece of buttered bread, it will probably land butter-side down. ...

Research Methods for the Behavioral Sciences (MindTap Course List)

Answer the following questions using complete sentences and your own words. CONCEPT QUETIONS Make up a word pro...

Mathematics: A Practical Odyssey

Reminder Round all answers to two decimal places unless otherwise indicated. Keplers Third Law By 1619, Johanne...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

In Problems 15 and 16 a uniform beam of length L carries a concentrated load w0 at x=12L. See Figure 7.5.5 (Pro...

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

Represent the integers in 7â€”12 in decimal notation. 101112

Discrete Mathematics With Applications

For the following exercises, consider the function.
24. Sketch the graph of f over the interval [-1, 2] and sha...

Calculus Volume 1

Production Line Fill Weights.â€ƒA production line operates with a mean filling weight of 16 ounces per container....

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

A sample of 16 items from population 1 has a sample variance s12=5.8 and a sample of 21 items from population 2...

Essentials Of Statistics For Business & Economics

For the following exercises, find the exact area of the region bounded by the given equations if possible. If y...

Calculus Volume 2