The tank in the form of a right-circular cone of radius 4 feet and height 32 feet standing on its end, vertex down, is leaking through a circular hole of radius 2 inches. Assume the friction coefficient to be c=0.6 and g=32ft/s^2. Then the equation governing the height h of the leaking water is

dh/dt= ....

If the tank is initially full, it will take how many seconds to empty?

Seconds=....