# Question #bb3d8

##### 1 Answer

#### Explanation:

Volume of this solid is a sum of two volumes - the one of a cone and that of a cylinder.

Since we know the radius of both, all we need is the height of each -

We do not know these heights but we know two important equations they participate in:

(1)

(2)

where

From the two equations above we can easily find

substituting (1) into (2), we get

Knowing heights and radiuses of a cone and a cylinder, we can calculate each volume.

The volume of a cone is

The volume of a cylinder is

Total volume of a solid is