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

Answer:

226.4 m³.

Step-by-step explanation:

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

$\displaystyle V = \frac{1}{3} \pi\cdot r^{2}\cdot h$,

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.

$\displaystyle r= \frac{1}{2}h=9.3\;\text{m}$.

$\displaystyle V = \frac{1}{3} \pi\cdot r^{2}\cdot h = \frac{1}{3} \pi \times 9.3^{2} \times 2.5 \approx 226.4\;\text{m}^{3}$.