Question

if the radius of a sphere is reduced to one third by how many times does it value decrease ​

Answer 1

Solution

Given :-

• the radius of a sphere is reduced to one third

Find :-

• how many times does it value decrease

Explanation

Useful Formula

★ Valume of sphere = 4/3 (πr³)

Where,

• r = radius

For New sphere

• r = r/3

New Volume be ,

==>New Volume of sphere = 4/3 × [π × (r/3)³]

==>New Volume of sphere = 4/3 ( πr³/27)

==>New Volume of sphere = 1/27 × [ 4/3(πr³)]

==> New Volume of sphere = 1/27 × ( Volume of sphere )

Hence

• if the radius of a sphere is reduced to one third then, volume decrease by 1/27 times.

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