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 water tank has the shape of an inverted right - circular cone with its axis vertical and vertex lower most. Its semi - vertical angle is tan^(-1)((1)/(2)) . Water is poured into it at a constant rate of 5 cubic meter per minute. Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is 10 m.

A water tank has a shape of an inverted right circular cone with its axis vertical and vertex lowermost. Its semi-vertical angle is tan^(-1)((3)/(4)) . Water is poured into it at a constant rate of 3 cubic meter per hour .The rate at which the level of the water is rising at an instant when the depth of water in the tank is 4m is

A water tank has a shape of an inverted right circular cone with its axis vertical and vertex lower-most. Its semi-vertical angle is tan^(-1)((3)/(4)) . Water is poured into it at a constant rate of 3 cubic meter per hour. The rate at which the level of the water is rising at an instant when the depth of water in the tank is 4m is

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 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 5cubic metre per hour.Find the rate at which the level of the water is rising at which the level of the water is in the tank is 4m.

A water tank has the shape of a cube with each side of length 3 metre. Water is poured into it at a constant rate of 27 cubic metre per hour. Then,the rate at which the level of the water is rising at the instant, when the depth of water in the tank is x, (0 < x < 2), is (in metre per hour) (i)x (ii) 3x (iii) 9x (iv) 3

An inverted cone with semi vertical angle 0=tan^(-1)((1)/(2)) is being filled with water at the rate of 5cm^(3) min.Then the rate of change of height of water when height of water is 10cm 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 cone has a depth of 15cm and a base of 6cm radius.Water is poured into it at the rate of (16)/(5)pi cc/min. Find the rate at which the level of water in the cone is rising when the depth is 4cm.