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January 31, 2015

January 31, 2015

Posted by **remy** on Monday, May 14, 2012 at 12:28am.

Recall that the volume of a right circular cone with height h and radius of the base r is given by

V=(1/3)(pi)(r^2)(h)

- calculus -
**Steve**, Monday, May 14, 2012 at 9:50amshoot, they've done the work for you

V = 1/3 pi r^2 h

but h = 2r (the diameter)

V = 2/3 pi r^3

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

50 = 2pi*144 dr/dt

dr/dt = 50/288pi = .055 ft/min

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