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April 16, 2014

Homework Help: Calculus (Parts A and B done, just help with C)

Posted by Mishaka on Tuesday, January 17, 2012 at 7:37pm.

The radius, r, of a sphere is increasing at a constant rate of 0.05 meters per second.
A. At the time when the radius of the sphere is 12 meters, what is the rate of increase in its volume?
B. At the time when the volume of the sphere is 36pi cubic meters, what is the rate of increase in its surface area?
C. Express the rate at which the volume of the sphere changes with respect to the surface area of the sphere (as a function of r).

Parts A and B I have figured out (A. = 28.8pi cubic meters per second; B. = 1.2pi squared meters per second) But I can't quite figure out C. How do I relate surface area and volume together into one equation???

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