Question

Find the volume of a right circular cone that has a height of 2.5 m and a base with a diameter of 18.6 m. Round your answer to the nearest tenth of a cubic meter.

Answer 1

226.4 m³.

Explanation:

The volume of a right cone with a circular base is:

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

where

• 
  `V` is the volume of the cone,
• 
  `r` is the radius of the cone,
• and
  `h` is the height of the cone.

The radius of the circular base is one-half its diameter.

`\displaystyle r= (1)/(2)h=9.3\;\text{m}`.

`\displaystyle V = (1)/(3) \pi\cdot r^(2)\cdot h = (1)/(3) \pi * 9.3^(2) * 2.5 \approx 226.4\;\text{m}^(3)`.