ELEMENTARY+INTERMEDIATE ALGEBRA
ELEMENTARY+INTERMEDIATE ALGEBRA
6th Edition
ISBN: 9781285074672
Author: Larson
Publisher: CENGAGE L
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Chapter 10.8, Problem 15E

i.

To determine

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

i.

Expert Solution
Check Mark

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
Check Mark

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
Check Mark

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
Check Mark

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.

Previous
Chapter 10.8, Problem 14E
Next
Chapter 10.8, Problem 16E

Chapter 10 Solutions

ELEMENTARY+INTERMEDIATE ALGEBRA

Ch. 10.1 - Prob. 1CCh. 10.1 - Prob. 2CCh. 10.1 - Prob. 3CCh. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7E
Ch. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10ECh. 10.1 - Prob. 11ECh. 10.1 - Prob. 12ECh. 10.1 - Prob. 13ECh. 10.1 - Prob. 14ECh. 10.1 - Prob. 15ECh. 10.1 - Prob. 16ECh. 10.1 - Prob. 17ECh. 10.1 - Prob. 18ECh. 10.1 - Prob. 19ECh. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - Prob. 22ECh. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - Prob. 25ECh. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECh. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - Prob. 31ECh. 10.1 - Prob. 32ECh. 10.2 - Prob. 1CCh. 10.2 - Prob. 2CCh. 10.2 - Prob. 3CCh. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Prob. 8ECh. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - Prob. 13ECh. 10.2 - Prob. 14ECh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - Prob. 17ECh. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.3 - Prob. 1CCh. 10.3 - Prob. 2CCh. 10.3 - Prob. 3CCh. 10.3 - Prob. 4CCh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - Prob. 10ECh. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Prob. 13ECh. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - Prob. 18ECh. 10.3 - Prob. 19ECh. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - Prob. 25ECh. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.3 - Prob. 30ECh. 10.3 - Prob. 31ECh. 10.3 - Prob. 32ECh. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - Prob. 37ECh. 10.3 - Prob. 38ECh. 10.3 - Prob. 39ECh. 10.3 - Prob. 40ECh. 10.3 - Prob. 41ECh. 10.3 - Prob. 42ECh. 10.3 - Prob. 43ECh. 10.4 - Prob. 1CCh. 10.4 - Prob. 2CCh. 10.4 - Prob. 3CCh. 10.4 - Prob. 4CCh. 10.4 - Prob. 5CCh. 10.4 - Prob. 6CCh. 10.4 - Prob. 7CCh. 10.4 - Prob. 8CCh. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10.4 - Prob. 7ECh. 10.4 - Prob. 8ECh. 10.4 - Prob. 9ECh. 10.4 - Prob. 10ECh. 10.4 - Prob. 11ECh. 10.4 - Prob. 12ECh. 10.4 - Prob. 13ECh. 10.4 - Prob. 14ECh. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - Prob. 19ECh. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - Prob. 25ECh. 10.4 - Prob. 26ECh. 10.4 - Prob. 27ECh. 10.4 - Prob. 28ECh. 10.4 - Prob. 29ECh. 10.4 - Prob. 30ECh. 10.4 - Prob. 31ECh. 10.4 - Prob. 32ECh. 10.4 - Prob. 33ECh. 10.4 - Prob. 34ECh. 10.4 - Prob. 35ECh. 10.4 - Prob. 36ECh. 10.4 - Prob. 37ECh. 10.4 - Prob. 38ECh. 10.4 - Prob. 39ECh. 10.4 - Prob. 40ECh. 10.4 - Prob. 41ECh. 10.4 - Prob. 42ECh. 10.4 - Prob. 43ECh. 10.4 - Prob. 44ECh. 10.4 - Prob. 45ECh. 10.5 - Prob. 1CCh. 10.5 - Prob. 2CCh. 10.5 - Prob. 1ECh. 10.5 - Prob. 2ECh. 10.5 - Prob. 3ECh. 10.5 - Prob. 4ECh. 10.5 - Prob. 5ECh. 10.5 - Prob. 6ECh. 10.5 - Prob. 7ECh. 10.5 - Prob. 8ECh. 10.5 - Prob. 9ECh. 10.5 - Prob. 10ECh. 10.5 - Prob. 11ECh. 10.5 - Prob. 12ECh. 10.5 - Prob. 13ECh. 10.5 - Prob. 14ECh. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - Prob. 17ECh. 10.5 - Prob. 19ECh. 10.5 - Prob. 20ECh. 10.5 - Prob. 21ECh. 10.5 - Prob. 22ECh. 10.5 - Prob. 23ECh. 10.5 - Prob. 24ECh. 10.5 - Prob. 25ECh. 10.5 - Prob. 26ECh. 10.5 - Prob. 27ECh. 10.5 - Prob. 28ECh. 10.5 - Prob. 29ECh. 10.5 - Prob. 30ECh. 10.5 - Prob. 31ECh. 10.6 - Prob. 1CCh. 10.6 - Prob. 2CCh. 10.6 - Prob. 1ECh. 10.6 - Prob. 2ECh. 10.6 - Prob. 3ECh. 10.6 - Prob. 4ECh. 10.6 - Prob. 5ECh. 10.6 - Prob. 6ECh. 10.6 - Prob. 7ECh. 10.6 - Prob. 8ECh. 10.6 - Prob. 9ECh. 10.6 - Prob. 10ECh. 10.6 - Prob. 11ECh. 10.6 - Prob. 12ECh. 10.6 - Prob. 13ECh. 10.6 - Prob. 14ECh. 10.6 - Prob. 15ECh. 10.6 - Prob. 16ECh. 10.6 - Prob. 17ECh. 10.6 - Prob. 18ECh. 10.6 - Prob. 19ECh. 10.6 - Prob. 20ECh. 10.6 - Prob. 21ECh. 10.6 - Prob. 22ECh. 10.6 - Prob. 23ECh. 10.6 - Prob. 24ECh. 10.6 - Prob. 25ECh. 10.6 - Prob. 26ECh. 10.6 - Prob. 27ECh. 10.6 - Prob. 28ECh. 10.6 - Prob. 29ECh. 10.6 - Prob. 31ECh. 10.6 - Prob. 32ECh. 10.6 - Prob. 33ECh. 10.6 - Prob. 34ECh. 10.6 - Prob. 35ECh. 10.6 - Prob. 36ECh. 10.6 - Prob. 37ECh. 10.6 - Prob. 38ECh. 10.6 - Prob. 39ECh. 10.6 - Prob. 40ECh. 10.6 - Prob. 41ECh. 10.7 - Prob. 1CCh. 10.7 - Prob. 2CCh. 10.7 - Prob. 3CCh. 10.7 - Prob. 4CCh. 10.7 - Prob. 1ECh. 10.7 - Prob. 2ECh. 10.7 - Prob. 3ECh. 10.7 - Prob. 4ECh. 10.7 - Prob. 5ECh. 10.7 - Prob. 6ECh. 10.7 - Prob. 7ECh. 10.7 - Prob. 8ECh. 10.7 - Prob. 9ECh. 10.7 - Prob. 10ECh. 10.7 - Prob. 11ECh. 10.7 - Prob. 12ECh. 10.7 - Prob. 13ECh. 10.7 - Prob. 14ECh. 10.7 - Prob. 15ECh. 10.7 - Prob. 16ECh. 10.7 - Prob. 17ECh. 10.7 - Prob. 18ECh. 10.7 - Prob. 19ECh. 10.7 - Prob. 20ECh. 10.7 - Prob. 21ECh. 10.7 - Prob. 22ECh. 10.7 - Prob. 23ECh. 10.7 - Prob. 24ECh. 10.7 - Prob. 25ECh. 10.7 - Prob. 26ECh. 10.7 - Prob. 27ECh. 10.7 - Prob. 28ECh. 10.7 - Prob. 29ECh. 10.7 - Prob. 30ECh. 10.7 - Prob. 31ECh. 10.7 - Prob. 32ECh. 10.8 - Prob. 1CCh. 10.8 - Prob. 2CCh. 10.8 - Prob. 3CCh. 10.8 - Prob. 1ECh. 10.8 - Prob. 2ECh. 10.8 - Prob. 3ECh. 10.8 - Prob. 4ECh. 10.8 - Prob. 5ECh. 10.8 - Prob. 6ECh. 10.8 - Prob. 7ECh. 10.8 - Prob. 8ECh. 10.8 - Prob. 9ECh. 10.8 - Prob. 10ECh. 10.8 - Prob. 11ECh. 10.8 - Prob. 12ECh. 10.8 - Prob. 13ECh. 10.8 - Prob. 14ECh. 10.8 - Prob. 15ECh. 10.8 - Prob. 16ECh. 10.8 - Prob. 17ECh. 10.8 - Prob. 18ECh. 10.8 - Prob. 19ECh. 10.8 - Prob. 20ECh. 10.8 - Prob. 21ECh. 10.8 - Prob. 22ECh. 10.8 - Prob. 23ECh. 10.8 - Prob. 24ECh. 10.8 - Prob. 25ECh. 10.8 - Prob. 26ECh. 10.8 - Prob. 27ECh. 10.8 - Prob. 28ECh. 10.8 - Prob. 29ECh. 10.8 - Prob. 30ECh. 10.8 - Prob. 31ECh. 10.8 - Prob. 32ECh. 10.8 - Prob. 33ECh. 10.8 - Prob. 34ECh. 10 - Prob. 1PSQCh. 10 - Prob. 2PSQCh. 10 - Prob. 3PSQCh. 10 - Prob. 4PSQCh. 10 - Prob. 5PSQCh. 10 - Prob. 6PSQCh. 10 - Prob. 7PSQCh. 10 - Prob. 8PSQCh. 10 - Prob. 9PSQCh. 10 - Prob. 10PSQCh. 10 - Prob. 11PSQCh. 10 - Prob. 1MCQCh. 10 - Prob. 2MCQCh. 10 - Prob. 3MCQCh. 10 - Prob. 4MCQCh. 10 - Prob. 5MCQCh. 10 - Prob. 6MCQCh. 10 - Prob. 7MCQCh. 10 - Prob. 8MCQCh. 10 - Prob. 9MCQCh. 10 - Prob. 10MCQCh. 10 - Prob. 11MCQCh. 10 - Prob. 1CRCh. 10 - Prob. 2CRCh. 10 - Prob. 3CRCh. 10 - Prob. 4CRCh. 10 - Prob. 5CRCh. 10 - Prob. 6CRCh. 10 - Prob. 7CRCh. 10 - Prob. 8CRCh. 10 - Prob. 9CRCh. 10 - Prob. 10CRCh. 10 - Prob. 11CRCh. 10 - Prob. 12CRCh. 10 - Prob. 13CRCh. 10 - Prob. 14CRCh. 10 - Prob. 15CRCh. 10 - Prob. 16CRCh. 10 - Prob. 17CRCh. 10 - Prob. 18CRCh. 10 - Prob. 19CRCh. 10 - Prob. 20CRCh. 10 - Prob. 21CRCh. 10 - Prob. 22CRCh. 10 - Prob. 23CRCh. 10 - Prob. 24CRCh. 10 - Prob. 25CRCh. 10 - Prob. 26CRCh. 10 - Prob. 1CTCh. 10 - Prob. 2CTCh. 10 - Prob. 3CTCh. 10 - Prob. 4CTCh. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Prob. 7CTCh. 10 - Prob. 8CTCh. 10 - Prob. 9CTCh. 10 - Prob. 10CTCh. 10 - Prob. 11CTCh. 10 - Prob. 12CTCh. 10 - Prob. 13CTCh. 10 - Prob. 14CTCh. 10 - Prob. 15CTCh. 10 - Prob. 1CSTCh. 10 - Prob. 2CSTCh. 10 - Prob. 3CSTCh. 10 - Prob. 4CSTCh. 10 - Prob. 5CSTCh. 10 - Prob. 6CSTCh. 10 - Prob. 7CSTCh. 10 - Prob. 8CSTCh. 10 - Prob. 9CSTCh. 10 - Prob. 10CSTCh. 10 - Prob. 11CSTCh. 10 - Prob. 12CSTCh. 10 - Prob. 2PTTSCh. 10 - Prob. 3PTTSCh. 10 - Prob. 4PTTSCh. 10 - Prob. 5PTTSCh. 10 - Prob. 6PTTSCh. 10 - Prob. 7PTTSCh. 10 - Prob. 8PTTSCh. 10 - Prob. 9PTTSCh. 10 - Prob. 10PTTSCh. 10 - Prob. 11PTTSCh. 10 - Prob. 12PTTSCh. 10 - Prob. 13PTTSCh. 10 - Prob. 14PTTSCh. 10 - Prob. 15PTTSCh. 10 - Prob. 16PTTSCh. 10 - Prob. 1CPCh. 10 - Prob. 2CPCh. 10 - Prob. 3CPCh. 10 - Prob. 4CPCh. 10 - Prob. 5CPCh. 10 - Prob. 6CPCh. 10 - Prob. 7CPCh. 10 - Prob. 8CPCh. 10 - Prob. 9CPCh. 10 - Prob. 10CPCh. 10 - Prob. 11CPCh. 10 - Prob. 12CPCh. 10 - Prob. 13CPCh. 10 - Prob. 14CPCh. 10 - Prob. 16CPCh. 10 - Prob. 17CPCh. 10 - Prob. 18CPCh. 10 - Prob. 19CPCh. 10 - Prob. 20CPCh. 10 - Prob. 21CPCh. 10 - Prob. 22CPCh. 10 - Prob. 23CPCh. 10 - Prob. 25CPCh. 10 - Prob. 26CPCh. 10 - Prob. 27CPCh. 10 - Prob. 28CPCh. 10 - Prob. 29CPCh. 10 - Prob. 30CPCh. 10 - Prob. 31CPCh. 10 - Prob. 32CPCh. 10 - Prob. 33CPCh. 10 - Prob. 34CP

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