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December 21, 2014

December 21, 2014

Posted by **Nathaniel** on Monday, November 28, 2011 at 12:34pm.

(a) Find the rate of increase of the height when the pile is 10ft high.

This is a 2 part problem. Please show me how to do the first part and I will be able to do the second part. Thanks

- Calculus -
**Steve**, Monday, November 28, 2011 at 1:26pmJust use the volume formula

v = 1/3 pi r^2 h

Since diameter = height = 2r

r = h/2

v = pi/3 * (h/2)^2 * h

v = pi/12 h^3

dv/dt = pi/4 h^2 dh/dt

20 = pi/4 (10) dh/dt

dh/dt = 8/pi

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