Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN: 9780547587776

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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Question

Chapter 10.8, Problem 15E

To determine

To find the volume of the cylinder, in terms of pi.

Expert Solution

Answer to Problem 15E

The volume of the cylinder- 47728 in³.

Explanation of Solution

Given:

The diameter of cylinder is 40 inches (d) and height is 38 inches.

Formula Used:Volume of cylinder is,

v=πr2h

Calculation:

Since diameter of cylinder is 40 inches, therefore,

Radius (r)= 402

= 20 inches.

Substituting values of radius and height

v = 3.14×202×383v=477.283

Hence, volume of cylinder is

15200p inch³-----------------------(1)

Conclusion:

Volume of cylinder is 5066.66π inch³

ii.

To determine

To find the volume of top cone and bottom cone, in terms of pi.

ii.

Expert Solution

Answer to Problem 15E

volume of top cone is 1333.33π and volume of bottom cone is 1066.66π inch³

Explanation of Solution

Given:

The diameter of top cone and bottom cone is same, that is, 40 inches (d). The height of top cone is 10 inches (h) and height of bottom cone is 8 inches (h).

Formula Used:Volume of a cone,

v=(πr2h)3

Calculation:

Since diameter of cylinder is 40 inches, therefore,

Radius (r)= 402

= 20 inches.

For top cone:

Substituting the values of radius and height,

v = π×202×103v=4000π3

Hence, the volume of top cone is:

1333.33π inch³__________________(2)

For bottom cone:

Substituting the values of radius and height,

v = π×202×83v=3200π3

Hence, the volume of top cone is:

1066.66π inch³_________________(3)

Conclusion:

The volume of top cone is 1333.33π and volume of bottom cone is 1066.66π inch³

iii.

To determine

To find the total volume of the composter

iii.

Expert Solution

Answer to Problem 15E

volume of the composter is 55263.96 inch³

Explanation of Solution

Given:

The volume of cylinder, top and bottom cones

Formula Used:

Volume of cone is,

v=(πr2h)3

Volume of cylinder is,

v=πr2h

Calculation:

Volume of composter = volume of cylinder (1) + volume of top cone (2) - volume of bottom cone (3)

Substituting the values of (1), (2) and (3),

v = 15200p + 1333.33p - 1066.66p

Hence, the volume of composter

v = 55263.96 inch³

Conclusion:

The volume of composter is 55263.96 inch³.

iv.

To determine

TO-DETERMINE that which whether radius affect the volume more or height.

iv.

Expert Solution

Answer to Problem 15E

The radius has a greater effect on the volume of the composter.

Explanation of Solution

Since the radius must besquared in the volume formula of both cone and cylinder so reducing radius will make a greater impact on the volume.

Conclusion: The radius has a greater impact on the volume.

Chapter 10.8, Problem 14E

Chapter 10.8, Problem 16E

Chapter 10 Solutions

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

Ch. 10.1 - Prob. 1C Ch. 10.1 - Prob. 2C Ch. 10.1 - Prob. 3C Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E

Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.2 - Prob. 1C Ch. 10.2 - Prob. 2C Ch. 10.2 - Prob. 3C Ch. 10.2 - Prob. 1E Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - Prob. 4E Ch. 10.2 - Prob. 5E Ch. 10.2 - Prob. 6E Ch. 10.2 - Prob. 7E Ch. 10.2 - Prob. 8E Ch. 10.2 - Prob. 9E Ch. 10.2 - Prob. 10E Ch. 10.2 - Prob. 11E Ch. 10.2 - Prob. 12E Ch. 10.2 - Prob. 13E Ch. 10.2 - Prob. 14E Ch. 10.2 - Prob. 15E Ch. 10.2 - Prob. 16E Ch. 10.2 - Prob. 17E Ch. 10.2 - Prob. 18E Ch. 10.2 - Prob. 19E Ch. 10.2 - Prob. 20E Ch. 10.2 - 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Prob. 16PTTS Ch. 10 - Prob. 1CP Ch. 10 - Prob. 2CP Ch. 10 - Prob. 3CP Ch. 10 - Prob. 4CP Ch. 10 - Prob. 5CP Ch. 10 - Prob. 6CP Ch. 10 - Prob. 7CP Ch. 10 - Prob. 8CP Ch. 10 - Prob. 9CP Ch. 10 - Prob. 10CP Ch. 10 - Prob. 11CP Ch. 10 - Prob. 12CP Ch. 10 - Prob. 13CP Ch. 10 - Prob. 14CP Ch. 10 - Prob. 16CP Ch. 10 - Prob. 17CP Ch. 10 - Prob. 18CP Ch. 10 - Prob. 19CP Ch. 10 - Prob. 20CP Ch. 10 - Prob. 21CP Ch. 10 - Prob. 22CP Ch. 10 - Prob. 23CP Ch. 10 - Prob. 25CP Ch. 10 - Prob. 26CP Ch. 10 - Prob. 27CP Ch. 10 - Prob. 28CP Ch. 10 - Prob. 29CP Ch. 10 - Prob. 30CP Ch. 10 - Prob. 31CP Ch. 10 - Prob. 32CP Ch. 10 - Prob. 33CP Ch. 10 - Prob. 34CP

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