Question

Find the volume of the figure below.
D
- 12 m

Answer 1

The volume of the sphere 288π cubic meters which is approximately 904.8 cubic meters to the nearest tenth.

Explanation:

The given figure is a sphere.

The formula for the volume of a sphere is:

`V=(4)/(3)\pi r^3`

where r is the radius.

Given the diameter of the sphere is 12 m, and the radius is half the diameter, r = 6 m.

To calculate the volume of the sphere, substitute r = 6 into the formula:

`\begin{aligned}\implies V&=(4)/(3)\pi \cdot 6^3\\\\&=(4)/(3)\pi \cdot 216\\\\&=288\pi \\\\ &\approx 904.8\;\sf m^3\;(nearest\;tenth)\end{aligned}`

Therefore, the volume of the sphere 288π cubic meters which is approximately 904.8 cubic meters to the nearest tenth.