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## Homework Statement

Water is drained from a conical tank with height 12ft and diameter 8ft into a cylindrical tank that has a base with area 400Π square feet. the deep, h, in feet, of the water in the conical tank is changing at the rate of 12 ft/min

a. write an expression for the volume of water int eh conical tank as a function of h

b. at what rate is the volume of water in the conical tank changing when h=3?

c. At the same time, h=3, at what rate is the radius changing?

d. let y be the depth, in feet, of the water in the cylindrical tank. at what rate is y changing when h=3?

## Homework Equations

V= 1/3Πr^2h

## The Attempt at a Solution

for a I think is just rearranging the volume equation right?, for part B I had dV/dt = 324Π, can somebody check is that is ok, and for c and d I'm lost.

Thanks in advance for all your help!!!!