Math

GeometryElementary Geometry For College Students, 7eWhen radii O A ¯ and O B ¯ are placed so that they coincide, a 240 ∘ sector of a circle is sealed to form a right circular cone. If the length of the radius of the circle is 6.4 cm, what is the lateral area of the cone that is formed? Use a calculator and round the answer to the nearest tenth of a square inch.BuyFind*arrow_forward*

7th Edition

Alexander + 2 others

Publisher: Cengage,

ISBN: 9781337614085

Chapter 9.3, Problem 48E

Textbook Problem

When radii
*tenth* of a square inch.

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 Population Growth A study prepared for a Sunbelt towns Chamber of Commerce projected that the population of the...

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

Using Ohms law, find the current I in amps (A) in each electric circuit (see Example 9):

Elementary Technical Mathematics

(a) Under what circumstances does a rational function have a slant asymptote? (b) How do you determine the end ...

Precalculus: Mathematics for Calculus (Standalone Book)

For the following set at scores: 1. Construct a frequency distribution table to organize the scores. 2. Draw a ...

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

Find the work done by the force field F(x,y,z)=xy2,yz2,zx2 on a particle that moves along the fine segment from...

Calculus (MindTap Course List)

Let X be a continuous rv with cdf F(x)={0x0x4[1+ln(4x)]0x41x4 [This type of cdf is suggested in the article Var...

Probability and Statistics for Engineering and the Sciences

A spherical balloon with radius r inches has volume V(r)=43r3. Find a function that represents the amount of ai...

Single Variable Calculus

Break-Even Analysis OHaganBooks.com has recently decided to start selling music albums online through a service...

Applied Calculus

2. Define the terms population, sample, parameter and statistic.

Statistics for The Behavioral Sciences (MindTap Course List)

In Exercises I to 14, use the roster method to write each of the given sets. For some exercises you may need to...

Mathematical Excursions (MindTap Course List)

For Problems 15-26, simplify each of the numerical expressions. 3[2(34)]+7

Intermediate Algebra

Convert each expression in Exercises 25-50 into its technology formula equivalent as in the table in the text. ...

Finite Mathematics

In problem 3.1 at the end of Chapter 3, you calculated measures of central tendency for six variables for fresh...

Essentials Of Statistics

Express the integral Ef(x,y,z)dV, as an iterated integral in six different ways, where E is the solid bounded b...

Calculus: Early Transcendentals

Determining Concavity In Exercises 43-48, determine the open t-intervals on which the curve is concave downward...

Calculus: Early Transcendental Functions

The cost of producing x ounces of gold from a new gold mine is C = f(x) dollars. (a) What is the meaning of the...

Single Variable Calculus: Early Transcendentals, Volume I

Use traces to sketch and identify the surface. x29+y225+z24=1

Multivariable Calculus

Sketch the graphs of the equations in Exercises 512. 2yx2=1

Finite Mathematics and Applied Calculus (MindTap Course List)

Estimating the Standard Deviation: Veterinary Science How much should a healthy kitten weigh? A healthy 10-week...

Understanding Basic Statistics

In Problems 37-40, complete the following.
(a) Find the derivative of each function and evaluate it at the giv...

Mathematical Applications for the Management, Life, and Social Sciences

Determining Continuity In Exercises 111122, describe the interval(s) on which the function is continuous. Expla...

Calculus: An Applied Approach (MindTap Course List)

Surface Area In Exercises 63-68, find the area of the surface generated by revolving the curve about each given...

Calculus of a Single Variable

30. You are the owner of Decorama Flooring. Todd and Claudia have asked you to give them an estimate for tiling...

Contemporary Mathematics for Business & Consumers

For Questions 1 through 4, fill in the blank with an appropriate word or number. To find the area of a triangle...

Trigonometry (MindTap Course List)

True or False
Label each of the following statements as either true or false.
8. The set of all odd permutatio...

Elements Of Modern Algebra

Find a power series representation for the function and determine the radius of convergence. 15. f(x) = ln(5 x...

Single Variable Calculus: Early Transcendentals

A frustum of a cone is the portion of the cone bounded between the circular base and a plane parallel to the ba...

Elementary Geometry for College Students

In Exercises 21-24, find the effective rate corresponding to the given nominal rate. 4/year compounded monthly.

Finite Mathematics for the Managerial, Life, and Social Sciences

Converting to Polar Coordinates: In Exercises 29-32, use polar coordinates to set up and evaluate the double in...

Calculus: Early Transcendental Functions (MindTap Course List)

True or False: limx6x3+8x29x+75x34x+30=limx6x35x3.

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

The paper Trends in Blood Lead Levels and Blood Lead Testing among U.S. Children Aged 1 to 5 Years (Pediatrics ...

Introduction To Statistics And Data Analysis

Finding a Derivative In Exercises 5-20, find dy / dx by implicit differentiation. x33x2y+2xy2=12

Calculus

Finding Curvature In Exercises 23-28, find the curvature of the plane curve at the given value of the parameter...

Multivariable Calculus

fx(a, b) is the slope of the tangent line to the curve formed by the intersection of the surface z = f(x, y) at...

Study Guide for Stewart's Multivariable Calculus, 8th

Use Websters Method to apportion the legislative seats in Exercise 2.

Mathematics: A Practical Odyssey

Express the following decimal fractions as common fractions. Reduce to lowest terms. 48. 0.09375

Mathematics For Machine Technology

Finding the Magnitude In Exercises 73-78, Find the magnitude of v. v=4i+3j+7k

Calculus (MindTap Course List)

In a cover story, BusinessWeek published information about sleep habits of Americans (BusinessWeek, January 26,...

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

Find the vertex of each parabola. f(x)=x2+2

College Algebra (MindTap Course List)

What is the general purpose of a manipulation check?

Research Methods for the Behavioral Sciences (MindTap Course List)

Winter visitors are extremely important to the economy of Southwest Florida. Hotel occupancy is an often-report...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Under what circumstances are the median and the mode considered to be better than the mean for describing centr...

Research Methods for the Behavioral Sciences (MindTap Course List)

Write the first four terms of the sequences defined by the formulas in 1-6. ak=k10k, for every integer k1.

Discrete Mathematics With Applications

Evaluating Formulas In Exercises S-21 through S-30, you are given a formula that you are asked to evaluate with...

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

25. Given below is a bivariate distribution for the random variables x and y.
f(x, y) x y
.2 50 80
.5 30 50
.3 ...

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

In the following exercises, consider the graph of the function y=f(x) shown here. Which of the statements about...

Calculus Volume 1

A large tank is filled to capacity with 500 gallons of pure water. Brine containing 2 pounds of salt per gallon...

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

The data from exercise 2 follow.
The estimated regression equation for these data is .
Compute SSE, SST, and S...

Essentials Of Statistics For Business & Economics

Investment Analysis A person plans to invest up to $20,000 in two different interest-bearing accounts. Each acc...

College Algebra