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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