Precalculus Enhanced with Graphing Utilities
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN: 9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher: PEARSON
Question
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Chapter A.2, Problem 36AYU
To determine

To find: The volume V and surface area S of a closed right circular cylinder with radius 8 inches and height 9 inches.

Expert Solution & Answer
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Answer to Problem 36AYU

V = 576π  in 3 and S = 272π  in 2 .

Explanation of Solution

Formula Used:

Volume V = π r 2 h and surface area S = 2π r 2  + 2πrh .

Volume of a right circular cylinder V = π r 2 h = π ( 8 ) 2  × 9 = 576π  in 3 .

Surface area of a right circular cylinder.

S = 2π r 2  + 2πrh = 2π ×  8 2  + 2π × 8 × 9 = 272π  in 2

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