Question

What is the volume of the cone shown below?

Answer 1

C. 96π cubic units

Explanation:

The volume of a cone can be found using the following formula.

`V=(1)/(3) \pi r^2h`

The radius of the cone is 4 units and the height is 18 units.

r= 4 units

h=18 units

Substitute the values into the formula.

`V=(1)/(3) \pi (4units)^2(18 units)`

First, evaluate the exponent, 4 units^2.

4 units^2= 4 units * 4 units= 16 units^2

`V=(1)/(3)\pi(16 units^2)(18 units)`

Next, multiply 16 units^2 and 18 units

16 units^2*18 units= 288 units^3

`V=(1)/(3)\pi(288 units^3)`

Next, multiply 1/3 and 288 units^3, or divide 288 units^3 by 3.

1/3 * 288 units^3 =96 units^2

288 units^3/3=96 units^3

`V=\pi*96units^3`

This can be rewritten as:

`V= 96\pi units^3`

The volume of the cone is 96π cubic units. Therefore, C is the correct answer choice.

Answer 2

C. 96 pi

Explanation:

Formula for volume of cone = 1/3 * h * pi * r^2

1. 1/3 * 18 * 4^2 * pi

2. 96 pi

I hope this helps