Volume of water in a trough is `x(2x^(2)+2x+5) cm^(3)` when the depth ter is `x cm`.Water is poured into the trough at the rate of `100 cc//sec`. When the depth of water in it is `5 cm,` water level is rising at the rate of

Water is being poured into an open cylindrical can of radius 2ft. At the rate of 6 cu.ft//min . The depth of water in the can is increasing at the rate of

Water is poured into an inverted cone of semi-vertical angle 30^(@) at the rate of 2 cu.ft//min .When the depth of water in the cone is 1 foot, the surface of water in the cone is rising at the rate of

Water is poured into an inverted cone of semi-vertical angle 30^(@) at the rate of 2 cu.ft//min .When the depth of water in the cone is 1 foot, the surface of water in the cone is rising at the rate of

When a circle oil drop expands on water, its area increase at the rate of 40 pi cm ^(2)//sec When the radius is 5 cm, it is increasing at the rate of

A cone has a depth of 15cm and a base of 6cm radius.Water is poured into it at the rate of (16)/(5)pi cc/min. Find the rate at which the level of water in the cone is rising when the depth is 4cm.

A water tank has the shape of a right circular cone with its vertex down. Its altitude is 10 cm and theradius of the base is 15 cm. Water leaks out of the bottom at a constant rate of lcu.cm/sec. Water ispoured into the tank at a constant rate of C cu. cm/sec. Compute C so that the water level will berising at the rate of 4 cm/sec at the instant when the water is 2 cm deep.

The bottom of a rectangular swimming tank is 50cm xx20cm. Water is pumped into the tank at the rate of 500cc/mm .Find the rate at which at level of water in the tank is rising

Suppose that water is emptied from a spherical tank of radius 10 cm. If the depth of the water in the tank is 4 cm and is decreasing at the rate of 2 cm/sec, then the radius of the top surface of water is decreasing at the rate of

Suppose that water is emptied from a spherical tank of radius 10 cm. If the depth of the water in the tank is 4 cm and is decreasing at the rate of 2 cm/sec, then the radius of the top surface of water is decreasing at the rate of