Question

Find the volume of a right circular cone that has a height of 14.7 ft and a base with a circumference of 13 ft. Round your answer to the nearest tenth of a cubic foot.

Answer 1

Answer:65.9

Explanation:

Answer 2

`C= 2\pi r`

`r = (C)/(2\pi) =(13 ft)/(2\pi)= 2.069 ft`

`V =(\pi (2.069 ft)^2 *14.7 ft)/(3)= 65.89 ft^3 \approx 65.9 ft^3`

So then the final answer after round to the nearest tenth is 65.9 ft^3

Explanation:

For this case we know that the volume for a right ciruclar cone is given by this formula:

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

Where:

`r` represent the radius

`h = 14.7` represent the heigth

We know the length of the circumference on this case
`C = 13 ft` and by properties we know that:

`C= 2\pi r`

Solving for r we got:

`r = (C)/(2\pi) =(13 ft)/(2\pi)= 2.069 ft`

Now replacing the value of the radius and heigth into the formula for the volume we got:

`V =(\pi (2.069 ft)^2 *14.7 ft)/(3)= 65.89 ft^3 \approx 65.9 ft^3`

So then the final answer after round to the nearest tenth is 65.9 ft^3