The volume V of a right circular cone of radius r and height h is given by V = Tr²h. Find a formula for the instantaneous rate of change of V with respect to r if r changes and h remains constant. Find a formula for the instantaneous rate of change of V with respect to h if h changes and r remains constant.

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 cone of radius r and height h is given by V = ar²h.
Find a formula for the instantaneous rate of change of V with respect to r if
r changes and h remains constant.
Find a formula for the instantaneous rate of change of V with respect to h if
h changes andr remains constant.
Transcribed Image Text:The volume V of a right circular cone of radius r and height h is given by V = ar²h. Find a formula for the instantaneous rate of change of V with respect to r if r changes and h remains constant. Find a formula for the instantaneous rate of change of V with respect to h if h changes andr remains constant.
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