BuyFind*arrow_forward*

6th Edition

Daniel C. Alexander + 1 other

Publisher: Cengage Learning

ISBN: 9781285195698

Chapter 9.CR, Problem 15CR

Textbook Problem

The slant height of a right circular cone is 12 cm. The angle formed by the slant height and altitude is 30⁰. Find the exact and approximate

a) Lateral area | b) total area | c) volume. |

Elementary Geometry for College Students

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 - A concrete pad 4 in. thick is to have a length of...Ch. 9.1 - Zaidah plans a raised flower bed 2 ft high by 12...Ch. 9.1 - In excavating for a new house, a contractor digs a...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 - Kiannas aquarium is box-shaped with dimensions of...Ch. 9.1 - The gasoline tank on an automobile is box-shaped...Ch. 9.1 - For Exercise 43 to 45, consider the oblique...Ch. 9.1 - For Exercise 43 to 45, consider the oblique...Ch. 9.1 - For Exercise 43 to 45, 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 solid on page 406, the base is a regular...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 in Exercise...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 a 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 shown on page 471,...Ch. 9.3 - For the right circular cylinder shown on page 417,...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 - A farmer 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 An octahedron has _________________ faces that...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 For Problems 37-46, evaluate each of the algebraic expressions for the given values of the variables. 3(2x1)+2(...

Intermediate Algebra

Quality Control The diameter x (in inches) of a batch of ball bearings manufactured by PAR Manufacturing satisf...

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

Rewrite each expression in Exercises 116 as a single rational expression, simplified as much as possible. 1x[x3...

Applied Calculus

The spotlight effect refers to overestimating the extent to which others notice your appearance or behaviour, e...

Statistics for The Behavioral Sciences (MindTap Course List)

Basic Computation: Find the Test Statistic. Corresponding P-value, and Conclude Test A random sample of size 16...

Understanding Basic Statistics

A boatman wants to cross a canal that is 3 km wide and wants to land at a point 2 km upstream from his starting...

Multivariable Calculus

Evaluating a Definite Integral In Exercises 23-34, evaluate the definite integral. 0lnex1+e2xdx

Calculus: Early Transcendental Functions

Explain why the function is discontinuous at the given number a. Sketch the graph of the function. 22. f(x)={2x...

Single Variable Calculus

Evaluate the integral, if it exists. 12(8x3+3x2)dx

Single Variable Calculus: Early Transcendentals, Volume I

Sketching Tangent Lines In Exercises 1-6, trace the graph and sketch the tangent lines at (x1,y1)and(x2,y2).

Calculus: An Applied Approach (MindTap Course List)

Recent research has shown that creative people are more likely to cheat than their less-creative counter parts ...

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

Test the divisibility of each first number by the second number: 375; 5

Elementary Technical Mathematics

The sample data x1, x2,...., xn sometimes represents a time series, where xt = the observed value of a response...

Probability and Statistics for Engineering and the Sciences

Simplify each expression in Exercises 1730, expressing your answer in positive exponent form. x2x3y

Finite Mathematics

SOC/CJ Statewide, the police clear by arrest 35 of the robberies and 42 of the aggravated assaults reported to ...

Essentials Of Statistics

Terminal Points and Reference Numbers Find (a) the reference number for each value of t and (b) the terminal po...

Precalculus: Mathematics for Calculus (Standalone Book)

The table shows speedometer readings at 10-second intervals during a 1-minute period for a car racing at the Da...

Calculus: Early Transcendentals

Find the general indefinite integral. (2+tan2)d

Calculus (MindTap Course List)

In Exercises 53 to 62, use set notation to describe the shaded region. You may use any of the following symbols...

Mathematical Excursions (MindTap Course List)

Find all possible real solutions of each equation in Exercises 3144. x3x25x+5=0

Finite Mathematics and Applied Calculus (MindTap Course List)

In Problems 1 and 2, find the requested value and tell what the other numbers represent.

Mathematical Applications for the Management, Life, and Social Sciences

True or False Label each of the following statements as either true or false. The field of quotients Q of an in...

Elements Of Modern Algebra

Using the Integral Test In Exercises 3-22, confirm that the Integral Test can be applied to the series. Then us...

Calculus of a Single Variable

(a) Find the eccentricity, (b) identify the conic, (c) give an equation of the directrix, and (d) sketch the co...

Single Variable Calculus: Early Transcendentals

As the accounting manager of Spring Creek Plastics, Inc., you have been asked to calculate the following financ...

Contemporary Mathematics for Business & Consumers

Use your graphing calculator to find the solutions to the equations you solved in the following problems by gra...

Trigonometry (MindTap Course List)

Finding the Radius of Gyration About Each Axis In Exercises 29-34, verify the given moment(s) of inertia and fi...

Calculus: Early Transcendental Functions (MindTap Course List)

SALARY COMPARISONS Markeeta, a recent college graduate, received two job offers. Company A offered her an initi...

Finite Mathematics for the Managerial, Life, and Social Sciences

A differential equation is separable if it can be written in the form: a) dydx=f(x)+g(y) b) dydx=f(g(x,y)) c) d...

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

Describe the two general purposes of statistics and the two corresponding general categories of statistical tec...

Research Methods for the Behavioral Sciences (MindTap Course List)

Automobile unit sales at B. J. Scott Motors, Inc., provided the following 10-year time series. Year Sales Year ...

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

In addition to the key words, you should be able to define each of the following terms: literature search title...

Research Methods for the Behavioral Sciences (MindTap Course List)

In Exercises 25-30, a pair of dice is rolled three times. Find the probability of each of the following. Atleas...

Mathematics: A Practical Odyssey

Are stock splits beneficial to stockholders? SNL Financial studied stock splits in the banking industry over an...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Finding a General Solution In Exercises 43-52, use integration to find a general solution of the differential e...

Calculus (MindTap Course List)

For each of the values in the following table, the true value and measured value are given. Determine the absol...

Mathematics For Machine Technology

Suppose that, starting at a certain time, batteries coming off an assembly line are examined one by one to see ...

Introduction To Statistics And Data Analysis

True or False:
The curve at the right appears to be piecewise smooth.

Study Guide for Stewart's Multivariable Calculus, 8th

Applications Artillery See the illustration for exercise 49. A shell fired from the base of a hill follows the ...

College Algebra (MindTap Course List)

EXPLORING CONCEPTS Think About It Given that lim(x,y)(1,0)f(x,y)=0, does lim(x,0)(0,0)f(x,0)=0? Explain.

Multivariable Calculus

68. Mahoney Custom Home Builders, Inc. of Canyon Lake, Texas, asked visitors to their website what is most impo...

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

ReminderRound all answers to two decimal places unless otherwise indicated. McDonaldsThe formula M(t)=1.19t+13....

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

In Problems 3546 find the general solution of the given system. x=(4554)x

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

Consider the set A={12,24,48,3,9} ordered by the divides” relation. Is A tottaly ordered with respect to the re...

Discrete Mathematics With Applications

[T] The velocity V (in centimeters per second) of blood in an artery at a distance x cm from the center of the ...

Calculus Volume 1

Testing Time to Breakdown Between All Pairs of Machines. Refer to exercise 18. Use the Bonferroni adjustment to...

Essentials Of Statistics For Business & Economics

Researchers interviewed street prostitutes in Canada and the United States. The mean age of the 100 Canadian pr...

Introductory Statistics