Question

What is the volume of the composite figure?(Use 3.14 for n.) Do NOT round your answer..8 in.16 in.9 in.1111 in.V = [?]in.³

Answer 1

Answer:

2388.16

Explanation:

The composite figure is made up of a cylinder and a rectangular pyramid. Therefore, the volume of the composite figure is the sum of the volume of the cylinder and the rectangular prism.

The volume of the cylinder is given by

$V=\pi r^2h$

where r = radius and h = height.

In our case, the radius of the cylinder is r = 4 and the height = 9 in;

therefore, the volume is

$\pi(4)^2\times9=3.14\times4^2\times9=452.16$

The volume of the rectangular prism is given by

$V=L\times w\times h$

where L = length, h = height, and w = width fo the cylinder.

Now in our case, L = 16, h = 1, and w = 11; therefore, the volume

$16\times11\times11=1936$

Therefore, the volume of the composite figure is

$452.16+1936=\boxed{2388.16.}$