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

Question 7 Mensuration Exercise 17.3

A shot-put is a metallic sphere of radius 4.9 cm. If the density of the metal is 7.8 g per cm3, find the mass of the shot-put.

Solution:

The capacity of a sphere is its volume. It is the area that the sphere occupies. The sphere has a round, three-dimensional shape. Its shape is determined by three axes: the x, y, and z axes.

Given radius of the metallic sphere, r = 4.9 cm

Volume of the sphere, V = (4/3)π r3

V = (4/3)×(22/7)×4.93

V = 493.005

V = 493 cm3 (approx)

Given Density = 7.8 g per cm3

Density = Mass/ Volume

Mass = Density×Volume

= 7.8×493

= 3845.4 g

Hence the mass of the shot put is 3845.4 g.

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