Water is dropped at the rate of `3m^(3) /sec` into a cone of semi vertical angle `30^(@)` .Then the rate at which periphery of water surface changes, when height of water in the cone is 3m ,is

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 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

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 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

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

Water is being poured at the rate of 36" m"^(3)//"sec" in a cylindrical vessel of base radius 3 metres. Find the rate at which water level is rising.

A water is poured into an inverted cone whose semi-vertical angle is 45^(@) so that the level of water increases at the rate of 1 cm/sec. then the rate at which the volume of water is increasing when height of water in cone is 2 cm is

Whater is poured into an inverted cone of semi-vertical angle 45^(@) at rate of 2 cu. in . /min .The rate at which the depth of water in the cone is increasing when the depth is 4 in. is

A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is tan ^(-1)((1)/(2)) . Water is poured into it at a constant rate of 5 cu m/min. Then, the rate (in m/min) at which the level of water is rising at the instant when the depth of water in the tank is 10 m is