Question

Find the volume of a right circular cone that has a height of 4.1 cm and a base with a diameter of 14.8 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answer 1

`V=235.1\ cm^3`

Explanation:

Volume of a Cone

The volume of a right circular cone with height h and a base radius r is:

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

The height of the given cone is h=4.1 cm and its diameter is d=14.8 cm. Since the radius is half the diameter, r=7.4 cm.

Calculate the volume:

`\displaystyle V=(1)/(3)\pi\cdot 7.4^2\cdot 4.1`

`\displaystyle V=(1)/(3)\pi\cdot 54.76\cdot 4.1`

`\displaystyle V=(1)/(3)\pi\cdot 224.516`

`\boxed{V=235.1\ cm^3}`