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

2388.16

Step-by-step 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*9=3.14*4^2*9=452.16`

The volume of the rectangular prism is given by

`V=L* w* 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*11*11=1936`

Therefore, the volume of the composite figure is

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