Question

From a solid right circular cylinder with height 10 cm and radius of the base 6 cm, a right circular cone of the same height and same base is removed. Find the volume of the remaining solid. 

Answer 1

Given:

Radius of the cylinder r = 6 cm

Height of the cylinder h = 10 cm

A cone of the same base and same height is removed.

Volume of the cylinder:

V_cylinder ​= πr²h

= π × 62 × 10

= 360 π cm³

Volume of the cone:

V_cone​ `= 1/3 pi r^2h`

`=1/3 xx pixx6^2xx10`

= 120π cm³

Volume of the remaining solid:

= 360π − 120π

= 240π cm³

240 × 3.1416

= 754.28 cm³​