The water for a factory is stored in a hemispherical tank whose internal diameter is 14 m The tank c...

Question

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

Accepted Answer

Solution The space that a hemisphere takes up is referred to as its volume The volume of a thing determines how much space it takes up Half of a whole sphere a hemisphere is a 3D object As a result a hemispheres volume is equal to half that of a sphere Given internal diameter of the hemispherical tank d 14 m So radius r 142 7 m Volume of the tank 23 rsup3sup 232277sup3sup 718667 msup3sup 71867 msup3sup approx 71867 kilolitre Quantity of water in tank 50 kilolitre Amount of water to be pumped into the tank 7186750 66867 kilolitre Hence the volume of water pumped into the tank is 66867 kilolitre

ML Aggarwal Solutions Class 10 Mathematics Solutions for Mensuration Exercise 17.3 in Chapter 17 - Mensuration