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

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.

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 hemisphere's volume is equal to half that of a sphere.

Given internal diameter of the hemispherical tank, d = 14 m

So radius, r = 14/2 = 7 m

Volume of the tank = (2/3)π 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. Related Questions

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