Posted by **Tim** on Thursday, December 29, 2011 at 12:37am.

The radius r of a sphere is increasing at the uniform rate of 0.3 inches per second. At the instant when the surface area S becomes 100pi square inches, what is the rate of increase, in cubic inches per second, in the volume V?

- math -
**Steve**, Thursday, December 29, 2011 at 4:48am
V = 4/3 pi r^3

dV/dt = 4pi r^2 dr/dt

= A dr/dt

plug in the values given:

dV/dt = 100pi * .3 = 30pi

- math - extra credit -
**Steve**, Thursday, December 29, 2011 at 4:49am
what is the volume of a cylinder of mozarella cheese, with radius z, and height a?

(don't use any exponents in your answer)

- math -
**Tim**, Thursday, December 29, 2011 at 2:48pm
V = pir^2h

V = pizza

:)

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