Wednesday

August 27, 2014

August 27, 2014

Posted by **Leonardo** on Monday, October 26, 2009 at 8:48pm.

Hint: The volume of a right circular cone with height and radius of the base is given by V=(1/3)(pi)(r^2)(h).

- calculus -
**Reiny**, Monday, October 26, 2009 at 9:04pmV=(1/3)(pi)(r^2)(h).

But we are told that 2r=h or r = h/2

then

V=(1/3)(pi)(h^2/4)(h).

=(1/12)pi(h^3)

dV/dh = (1/4)pi(h^2)dh/dt

when h = 12, and dV/dt = 50

50 = (1/4)pi(144)dh/dt

dh/dt = 200/(144pi) = 25pi/18 ft/min

**Related Questions**

calculus - Gravel is being dumped from a conveyor belt at a rate of 30 cubic ...

calculus - Gravel is being dumped from a conveyor belt at a rate of 30 cubic ...

calculus - Gravel is being dumped from a conveyor belt at a rate of 10 cubic ...

Calculus - Gravel is being dumped from a conveyor belt at a rate of 10 cubic ...

calculus - Gravel is being dumped from a conveyor belt at a rate of 50 cubic ...

calculus - Gravel is being dumped from a conveyor belt at a rate of cubic feet ...

Calculus Please help! - Gravel is being dumped from a conveyor belt at a rate of...

Calculus - Gravel is being dumped from a conveyor belt at a rate of 50 cubic ...

calc - Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet ...

Please help Math - Gravel is being dumped from a conveyor belt at a rate of 20 ...