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22. The surface area of a right circular cylinder of height 2 feet and radius r feet is given by S(r)=2nrh+2nr. Find the instantaneous rate of change of the surface area with respect to the radius, r, when r = 3. O 24n 64n

22. The surface area of a right circular cylinder of height 2 feet and radius r feet is given by S(r)=2nrh+2nr. Find the instantaneous rate of change of the surface area with respect to the radius, r, when r = 3. O 24n 64n

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Question 22:** The surface area of a right circular cylinder of height 2 feet and radius \( r \) feet is given by \( S(r) = 2\pi r h + 2\pi r^2 \). Find the instantaneous rate of change of the surface area with respect to the radius, \( r \), when \( r = 3 \). Answer choices: - \( 24\pi \) - \( 64\pi \)
Transcribed Image Text:**Question 22:** The surface area of a right circular cylinder of height 2 feet and radius \( r \) feet is given by \( S(r) = 2\pi r h + 2\pi r^2 \). Find the instantaneous rate of change of the surface area with respect to the radius, \( r \), when \( r = 3 \). Answer choices: - \( 24\pi \) - \( 64\pi \)
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