A water tank has the shape of an inverted right circular cone with its axis vertical and vertex lowermost. Its semi-vertical angle is `tan^(-1)(0. 5)` . Water is poured into it at a constant rate of 5 cubic metre per hour. Find the rate at which

A water tank has the shape of an inverted righ circular cone with its axis vertical and vertex lowermost . Its semi-vertical angle is tan^(-1)(0.5) . Water is poured into it at a constant rate of 4 cubic meter per hour . Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is 2 m.

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

A particle is describing circular motion in a horizontal plane in contact with the smooth surface of a fixed rigid circular cone with its axis vertical and vertex down. The heigh of the plane of motion above the vertex is h h and the semi-vertical angle of the cone is alpha The period of revolution of the particle

If water is poured into an inverted hollow cone whose semi-vertical angle is 30^0, show that its depth (measured along the axis) increases at the rate of 1 cm/s. Find the rate at which the volume of water increases when the depth is 24 cm.

An inverted cone has a depth of 10cm and a base of radius 5cm. Water is poured into it at the rate of 3/2 c.c. per minute. Find the rate at which the level of water in the cone is rising when the depth is 4cm.

An inverted cone has a depth of 10cm and a base of radius 5cm. Water is poured into it at the rate of 3/2 c.c. per minute. Find the rate at which the level of water in the cone is rising when the depth is 4cm.

The semi-vertical angle of a cone remains constant. If its height increases by 2%, then find the approximate increase in its volume.

If water is poured into an inverted hollow cone whose semi-vertical angel is 30^0, show that its depth (measured along the axis) increases at the rate of 1 cm/s. Find the rate at which the volume of water increases when the depth is 24 cm.

A cone having fixed volume has semi - vertical angle of (pi)/(4) . At an instant when its height it decreasing at the rate of 2m/s, its radius increases at a rate equal to

Find the rate of change of total surface are of a right circular cone w.r.t. radius . (Cone angle remain constant ), when radius=5 cm.