The volume of a sphere increases with the cube of its radius. if the radius of a sphere increases from 2cm to 6cm, by what factor does is volume increase?

The volume of the sphere increases by a factor of 27.

Explanation:

We know that, the volume of a sphere increases with the cube of its radius. Mathematically, it is given by :

When, r = 2 cm

When, r = 6 cm

Therefore, the volume of the sphere increases by a factor of 27. Hence, this is the required solution.

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