(adsbygoogle = window.adsbygoogle || []).push({}); Sand is falling into a cone whose height is always 1/2 the diameter of the base. If the sand is falling at a rate of 1/2 cubic meters per min. How fast is the height increasin when the pile is 3 meters high?

so far i've drawn my diagram and got this far.

Given:

h = 1/2 the base

dv/dt = +1/2m^{3}/min

Needs:

dh/dt

the equation i was going to use is

V = 1/12pih^{3}

then i get

dv/dt = (1/2pi)(3h^{2})dh/dt

i dont know how to get the h?

any help?

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# Homework Help: Related Rates

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