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=6 inches, find the rate of change of V with respect to r when r=4 inches The rate is in2. (Type an exact answer in terms of л.)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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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 = 6 inches, find the rate of change of V with respect to r when r = 4 inches.
The rate is
in². (Type an exact answer in terms of t.)
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 = 6 inches, find the rate of change of V with respect to r when r = 4 inches. The rate is in². (Type an exact answer in terms of t.)
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