Question

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

Answer 1

The volume of the dilated cone is

`40 {m}^(3)`

Step-by-step 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,

`({ (1)/(5) })^(3) * 5000 {m}^(3)`

We simplify to obtain:

`{ (1)/(125) }* 5000 {m}^(3)`

This gives us:

`40 {m}^(3)`