Question

Find the volume of a right circular cone that has a height of 19.7 ft and a base with a diameter 9 ft. Round your answer to the nearest tenth of a cubic foot.

Answer 1

V = 417.8 ft³

Step-by-step explanation:

The volume (V) of a right circular cone can be calculated as follows:

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

Where:

r: is the radius of the circular cone

h: is the height of the circular cone = 19.7 ft

The radius of the circular cone can be found using the diameter (d) of the cone's base:

`r = (d)/(2) = (9)/(2) = 4.5 ft`

Now, the volume is:

`V = (\pi*r^(2)*h)/(3) = (\pi*(4.5 ft)^(2)*19.7 ft)/(3) = 417.8 ft^(3)`

Therefore, the volume of a right circular cone is 417.8 ft³.

I hope it helps you!