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?
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!!!!