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August 27, 2014

August 27, 2014

Posted by **jennifer** on Wednesday, December 29, 2010 at 4:54am.

- AP calculus AB -
**Damon**, Wednesday, December 29, 2010 at 5:05amAll three of your questions are pretty much the same idea.

change in volume = surface area * change in width of slice.

the surface area = pi r^2

r at five feet = half of radius at 10 feet so r = 2 feet

Area = pi r^2 = 4 pi ft^2

so

change in volume = (4 pi)(change in height)

so

change in volume/time = 4 pi (change in height/time)

so

10 ft^3/min = 4 pi ft^2 (dh/dt)

so

dh/dt = (10/4pi) ft/min

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