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

If im not wrong

Answer

volume increases with a factor of 27

Explanation;

The volume of a sphere is given by the formula

V = 4/3 πr³

When the radius is 2 cm the volume will be;

V = 4/3 π (2) ³

= 32/3 π

When the increases to 6 cm the volume will be;

V = 4/3 π (6) ³

= 864/3 π

Hence, the volume increases by a factor;

(864/3 π) : (32/3 π)

= 27

Thus, the volume increases with a factor 27