Find the volume of the smaller cone using the ratio of the volumes

The Larger cone has a radius of 5m and volume of 8000m^3

The Smaller cone has a radius of 2m

Given:

volume of larger cone : 8000 m³

radius of larger cone: 5 m

radius of smaller cone: 2 m

volume of smaller cone:?

Find the volume of the smaller cone using the ratio of the volumes.

a / b = c / d where ad = bc

5m / 8000 m³ = 2 m / x

5m * x = 8000 m³ * 2m

5m * x = 16000 m⁴

x = 16000 m⁴ / 5m

x = 3200 m³