Question

A cylinder with a radius of 6cm and height of 15 cm has a cylindrical cut out of the

middle of it with a radius of 5 cm.
Find the volume of the cylinder that remains, rounded to the nearest whole number.

Answer 1

`V = 518cm^3`

Explanation:

Given

`h = 15cm`

`R = 6cm`

`r =5cm`

Required

The volume of the remaining cylinder

Before the cut-out, the cylinder has a volume (V) of:

`V = \pi R^2h`

After the cut-out, the cylinder has a volume of:

`V = \pi [R^2 -r^2]h`

So, we have:

`V = 3.14* [6^2 -5^2]*15`

`V = 3.14* [36 -25]*15`

`V = 3.14* 11*15`

`V = 518cm^3`