If the radius of a sphere i'd tripled, does the volume also triple? explain.

If the radius of sphere is tripled, then volume does not triple. But volume increases by a factor of 27

Solution:

Given if the radius of sphere is tripled, whether the volume of sphere triples or not

The volume of sphere is given as:

Where "r" is the radius of sphere

When radius is tripled:

r = 3r

Let be the volume when radius is tripled

volume when radius is tripled = 27 times volume of sphere when radius is "r"

Therefore, if the radius is tripled the volume increases by a factor of 27

So the volume does not gets tripled

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