sand falls from an over head bin and accumulates in a conical pile with radius that is always three times the height. suppose the height of the pile increases at a rate of 2cm when the pile is 12cm high. at what rate is the sand leaveing the bin that instant

Question

amistre64 · Answer

you will want to know the formula for the volume of a cone

amistre64 · Answer

since r = 3h, replace r by 3h  and simplify the results

take the derivative of V wrt.h  and insert the given info to solve for V'