Posted by Inkiena on Tuesday, July 2, 2013 at 10:09pm.
sand is falling into a conical pile so that the radius of the base of the pile is always equal to one half its altitude. of the sand is falling at the rate of 10 cubic feet per minute, how fast is the altitude of the pile increasing when the pile is 5 feet deep?

Calculus  Reiny, Tuesday, July 2, 2013 at 10:59pm
given: r = h/2
V = (1/3)π r^2 h
= (1/3)π (h/2)^2 (h)
= (1/12) π h^3
dV/dt = (1/4)π h^2 dh/dt
for the given data ...
10 = (1/4)π(25)dh/dt
dh/dt = 10(4)/((25π) = 1.6/π feet/min
check my arithmetic

Calculus  Anonymous, Wednesday, January 14, 2015 at 12:31am
LOL

Calculus  Anonymous, Sunday, December 13, 2015 at 8:40pm
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