Question

A cone with volume 5000 m^3 is dilated by a scale factor of 1/5

Answer 1

ANSWER

The volume of the dilated cone is

$40 {m}^{3}$

EXPLANATION

The volume of the given cone is

$5000 {m}^{3}$

When this cone is dilated with a scale factor of 1/5, the volume of the dilated cone becomes,

$({ \frac{1}{5} })^{3} \times 5000 {m}^{3}$

We simplify to obtain:

${ \frac{1}{125} }\times 5000 {m}^{3}$

This gives us:

$40 {m}^{3}$