Water is dropped at the rate of 2 `m^3`/s into a cone of semi-vertical angle is `45^@` . If the rate at which periphery of water surface changes when the height of the water in the cone is 2m is d. Then the value of 5d is _____ m/sec

Water is dropped at the rate of 2m^(2)//s into a cone of semivertical angel of 45^(@) . The rate at which periphery of water surface changes when height of water in the cone is 2 m, is

Water is dripping out of a conical funnel of semi-vertical angle 45^@ at rate of 2(cm^3)/s . Find the rate at which slant height of water is decreasing when the height of water is sqrt(2) cm.

Height of a tank in the form of an inverted cone is 10 m and radius of its circular base is 2 m. The tank contains water and it is leaking through a hole at its vertex at the rate of 0.02m^(3)//s. Find the rate at which the water level changes and the rate at which the radius of water surface changes when height of water level is 5 m.

Water is dripping out from a conical funnel of semi-vertical angle pi/4 at the uniform rate of 2cm^2//sec in the surface through a tiny hole at the vertex of the bottom. When the slant height of the water level is 4 cm, find the rate of decrease of the slant heights of the water.

Water is dripping out from a conical funnel of semi-vertical angle pi/4 at the uniform rate of 2c m^3//s e c in its surface area through a tiny hole at the vertex in the bottom. When the slant height of the water is 4cm, find the rate of decrease of the slant height of the water.

Water is dripping out from a conical funnel of semi-vertical angle pi/4 at the uniform rate of 2c m^3//s e c in its surface area through a tiny hole at the vertex in the bottom. When the slant height of the water is 4cm, find the rate of decrease of the slant height of the water.

A diver at a depth of 12 m in water (mu=4 //3) sees the sky in a cone of semi-vertical angle

A cone of a radius 5 cm is filled with water. If the water poured in a cylinder of radius 10cm, the height of the water rises 2 cm, find the height of the cone.

A cone of a radius 5cm is filled with water. If the water poured in a cylinder of radius 10cm, the height of the water rises 2cm, find the height of the cone.

The altitude of a cone is 20 cm and its semi-vertical angle is 30^0 . If the semi-vertical angle is increasing at the rate of 2^0 per second, then the radius of the base is increasing at the rate of (a) 30 cm/sec (b) 160/3 cm/sec (c) 10 cm/sec (d) 160 cm/sec