Question

Find the volume of a right circular cone that has a height of 9.1 m and a base with a circumference of 12.1 m. Round your answer to the nearest tenth of a cubic meter.

Answer 1

`V=35.3\ m^3`

Explanation:

-Given the cone's height is 9.1m and the Circumference is 12.1

#We use the circumference formula to calculate the radius:

`C=2\pi r\\\\12.1=2\pi r\\\\r=(12.1)/(2\pi)=(6.05)/(\pi)\ cm`

-The volume of the cone using the radius above can then be calculated as follows:

`V=\pi r^2(h)/(3)\\\\=\pi*((6.05)/(\pi))^2* (9.1)/(3)\\\\\\=35.3\ m^3`

Hence, the cone's volume is
`35.3\ m^3`