Water is being poured at the rate of 36m3/sec in a cylindrical vessel of base radius 3 meters. Find the rate at which water level is rising.
Volume of cylinder,
V=πr2h
differentiating on both sides,
dVdt=πr2dhdt
36=π×32×dhdt
dhdt=369π=4π
height of water level increasing at a rate of 4π