The volume V of a right circular cylinder is given by V=² h, where r is the radius and h is the height. If h is held fixed at h = 3 inches, find the rate of change of V with respect to r when r=2 inches The rate is in². (Type an exact answer in terms of .)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...
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The volume V of a right circular cylinder is given by V = r² h, where r is the radius and h is the height. If h is held fixed at h = 3 inches, find the rate of change of V with respect to r when r = 2 inches.
The rate is in². (Type an exact answer in terms of .)
(...
Transcribed Image Text:The volume V of a right circular cylinder is given by V = r² h, where r is the radius and h is the height. If h is held fixed at h = 3 inches, find the rate of change of V with respect to r when r = 2 inches. The rate is in². (Type an exact answer in terms of .) (...
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