Question

A cone has a radius of 24cm and a volume of 1,920cm. What is the volume of a similar cone with a radius of 18cm?

Answer 1

[MA}:

24 * 3/4 = 18

The explanation:

The radius of smaller cone is 3/4 the radius of the original cone, so since these cones are similar, height must also be 3/4 smaller.

So since radius is squared and we also multiply the height (V = 1/3 π
`r^(2)` h),

The volume of smaller cone would be
`3^(3)` /
`4^(3)` = 27 / 64 smaller

Writer's note: Hope this helps!

[xArtsy]