Volume of composite figures

Given:

The diameter of cylinder is 6 in and the height of the cylinder is 8 in.

The dimensions of the cuboid are 15 in by 9 in by 9 in.

To find:

The volume of the composite figure.

Solution:

Volume of a cuboid is:

So, the volume of the cuboid is 1215 cubic inches.

The diameter of cylinder is 6 in. So, the radius of the cylinder is:

Volume of a cylinder is:

Where, r is the radius and h is the height.

Substituting , we get

The volume of the cylinder is 226.08 cubic inches.

Now, the volume of the composite figure is:

Therefore, the volume of the composite figure is 1441.08 cubic inches.

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6