Homework Help: 12th grade

Posted by Nazish on Saturday, November 6, 2010 at 7:03pm.

Wheat is falling from a chute onto a level floor at a rate of 8pi ft3/min to form a conical pile. If the height of the pile is always equal to the radius of its base, at what rate is the radius increasing when the pile is 8 ft deep?

12th grade - Reiny, Saturday, November 6, 2010 at 7:18pm
V = (1/3)πr^2h
but h=r
V= (1/3)πr^3
dV/dt = πr^2 dr/dt
so when h = 8 , r = 8 and dV/dt = 8π

8π = π(8)^2 dr/dt
dr/dt = 8π/(64π) = 1/8 ft/min
12th grade - Nazish, Saturday, November 6, 2010 at 8:03pm
THANKS!

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