Question

What is the volume of the composite figure? Use 3.14 for Pi. Round to the nearest hundredth.

A cone and cylinder. Both have a radius of 4 centimeters and height of 9 centimeters.

Recall the formulas V = B h and V = one-third B h
334.93 cubic centimeters
376.80 cubic centimeters
602.88 cubic centimeters
791.28 cubic centimeters

Answer 1

Answer: C

Step-by-step explanation

edg. 2020

Answer 2

602.88 cubic centimeters

Explanation:

To find the volume of the composite figure, we find the volume of each solid and add.

The volume of the cylinder is

`V= \pi \: {r}^(2) h`

Substitute r=4 and h=9.

`V= 3.14\: * {4}^(2) * 9 \\ V= 3.14\: * 16 * 9`

`V= 452.16 {cm}^(3)`

The volume of a cone with the same radius and height is one-third that of the cylinder.

The volume of the cone

`= (452.16)/(3) = 150.72 {cm}^(3)`

The volume of the composite figure is 452.16+150.72=602.88 cubic centimeters.