Question

Geometry:

What is the volume of the cone?
A. 2876.7 yd
B. 4625.36 yd
C. 4258.44 yd
D. 2787 64 yd

Answer 1

D. 2787.64 yd^3

Explanation:

This is the formula for the volume of a cone:

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

The height of the cone is 22 yd. The radius of the base of the cone is not given but we can use the diameter to calculate it since the radius is equal to half of the diameter.

`r=(1)/(2)d\\r=(1)/(2)(22)\\r=11yd`

Therefore, the radius of the base of the cone is 11 yd.

Now, we plug our values into the formula and solve.

`V=(1)/(3) \pi r^2h\\V=(1)/(3) \pi (11^2)(22)\\V=(1)/(3) \pi (121)(22)\\V=(1)/(3) \pi (2662)\\V=(1)/(3) \pi (2662)\\V=2787.64 yd^3`

Therefore, the volume of the cone is equal to 2787.64 yd^3.

I hope this helps!