A pump on the ground floor of a building can pump up water to fill a tank of volume `30 m^3` in 15 min. If the tank is 40 m above the ground, and the efficiency of the pump is 30%, how much electric power is consumed by the pump ?

A man who is 1.6 m tall walks away from a lamp which is 4 m above ground at the rate of 30 m/min. How fast is the man's shadow lengthening?

From a point on the ground 40 m away from the foot of a tower, the angle of elevation of the top of the tower is 30^@ . The angle of elevation to the top of a water tank (On the top of the tower) is 45^@ . Find the height of the tower and the depth of the tank.

The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilo litres of water. Water is pumped into the tank to fill to its capacity. Calculate the volume of water pumped into the tank.

A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in her field, which is 10 m in diameter and 2m deep.If water flowsthrough the pipe at the rate of 3 km/h, in how much time will the tank be filled ?

Selvi's house has an overhead tank in the shape of a cylinder. This is filled by pumping water from a sump (an underground tank) which is in the shape of a cuboid. The sump has dimensions 1.57 m x 1.44 m x 95cm. The overhead tank has its radius 60 cm and height 95 cm. Find the height of the water left in the sump after the overhead tank has been completely filled with water front the sump which had been full. Compare the capacity of the tank with that of the sump. (Use pi = 3.14)

The bottom of a rectangular swimming tank is 25 m by 40m. Water is pumped into the tank at the rate of 500 cubic metres per minute. Find the rate at which the level of water in the tank is rising.

The cylindrical tube of a spray pump has a cross-section of 8.0 cm^2 one end of which has 40 fine holes each of diameter 1.0 mm. If the liquid flow inside the tube is 1.5 m min^-1 , what is the speed of ejection of the liquid through the holes ?

A tank of capacity 10^3 kg is placed at the top of a house 10 m high.This tank is filled by a motor in 30 minutes by lifting water from a 20 m deep well.Find the power of motor(Take g=10m s^(-2) .

A godown is in the form of a cuboid of measures 60 m xx 40 m xx30 m . How many cuboidal boxes can be stored in it if the volume of one box is 0.8 m^3 ?