Question

Find the volume of the sphere with a radius of 18 cm. Round your answer to the nearest whole

number, and please be sure to include your units.

Answer 1

`\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=18 \end{cases}\implies V=\cfrac{4\pi (18)^3}{3}\implies V\approx 24429~cm^3`

Answer 2

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius.

Substituting the given radius, we get:

V = (4/3)π(18³) ≈ 24,389 cm³

Rounding to the nearest whole number, we get:

V ≈ 24,389 cm³ ≈ 24,389 cubic centimeters

Therefore, the volume of the sphere is approximately 24,389 cubic centimeters.