Water is being poured at the rate of the 36 `m^3`/sec into a cylindrical vessel of base radius 3 meters. Find the rate at which water level is rising.

A water tank in the form of an inverted cone is being emptied at the rate of 2 cubic feet per second. The height of the cone is 8 feet and the radius is 4 feet. Find the rate of change of the water level when the depth is 6 feet.

If water is poured into an inverted hollow cone whose semi-vertical angle is 30^0 , so that its depth (measured along the axis) increases at the rate of 1 cm/sec. Find the rate at which the volume of water is increasing when the depth is 2 cm.

The length x of a rectangle is increasing at the rate of 3 m/sec and the width y is increasing at the rate of 2 m/sec. Find the rate of change of its area when x=10 cm and y=6 cm.

A spherical iron ball 10cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of 50c m^3//m in . When the thickness of ice is 5cm, then find the rate at which the thickness of ice decreases.

A tank is in the form of inverted cone, having height 8 meters and base radius 2 meters. Water is flowing into the tank at the rate of (1/8) m^3 /min. The rate at which the water level is rising, when the water is 2.5 meters deep is….. A) (8/ pi ) m/min B) (8/25 pi ) m/min C) (25 pi / 8) m/min D) (8/15 pi ) m/min

A man of height 1.5 meters walks toward a lamp post of height 4.5 meters, at the rate of (3/4) meter/sec. Find the rate at which the tip of the shadow is moving.

The radius of a cylinder is increasing at the rate of 3m/sec and its altitude is decreasing at the rate of 4m/sec. The rate of change of volume, when radius is 4 meters and altitude is 6 meters, is….... A) 80 pi m^3 /sec B) 144 pi m^3 /sec C) 80 m^3 /sec D) 64 m^3 /sec