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Question
A solid metallic sphere of radius 8 cm is melted and recast into spherical balls each of radius 2 cm. Find the number of spherical balls obtained.
Solution
We have,
Radius of the solid metallic sphere, R = 8 cm and
Radius of the spherical ball , r = 2 cm
Now,
The number spherical balls obtained`= "Volume of the solid metallic sphere"/"Volume of a spherical ball"`
`=((4/3 pi"R"^3))/((4/3pi"r"^3))`
`=("R"/"r")^3`
`=(8/2)^3`
= 43
=64
So, the number of spherical balls obtained is 64.
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