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.

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 180 cm is moving away from a lamp post at the rate of 1.2 meters per second. If the height of the lamp post is 4.5 meters, find the rate at which the tip of the shadow is moving

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 container is in the shape of an inverted cone. Its height is 6 m and radius is 4 m at the top. IF it is filled with water at the rate of 3m^3//min , then the rate of change of height of water (in m//min ) when the water level is 3 m is a) 3/(4pi) b) 2/(9pi) c) 16pi d) 2pi

A cylindrical tub of radius 5 cm and length 9.8 cm is full of water. A solid in the form of right circular cone mounted on a hemisphere is immersed into the tub. The radius of the hemisphere is 3.5 cm and height of cone outside the hemisphere is 5 cm. Find the volume of water left in the tub. ("Take "pi=22/7)

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.