This is the Important question of class 10 Based on Mensuration Chapter of M.L Aggarwal book for ICSE BOARD.
The water for a factory is stored in a hemispherical tank whose internal diameter is given. The tank contains 50 kilolitres of water. Water is pumped into the tank to fill to its capacity.
Find the volume of water pumped into the tank.
This is the Question Number 15, Exercise 17.3 of M.L Aggarwal.
Deepak BoraNewbie
The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m. The tank contains 50 kilolitres of water. Water is pumped into the tank to fill to its capacity. Find the volume of water pumped into the tank.
Share
Given internal diameter of the hemispherical tank, d = 14 m
So radius, r = 14/2 = 7 m
Volume of the tank = (2/3)r3
= (2/3)×(22/7)×(7)3
= 718.667 m3
= 718.67 m3 (approx)
= 718.67 kilolitre
Quantity of water in tank = 50 kilolitre
Amount of water to be pumped into the tank = 718.67-50 = 668.67 kilolitre.
Hence the volume of water pumped into the tank is 668.67 kilolitre.