# How do I find the volume of a sphere with a diameter of 40 cm?

Aug 20, 2014

The volume of a sphere is denoted below:

$V = \frac{4}{3} \pi {r}^{3}$ where V is the volume and r is the radius of the sphere.

Since you were given diameter, we determine radius.

$r = \frac{d}{2}$

$r = \frac{40}{2}$

$r = 20$

Plugging in our radius to the sphere Volume formula, we get:

$V = \frac{4}{3} \pi {\left(20\right)}^{3}$

Simplifying, we get:
$V = \frac{4}{3} \pi \left(8000\right)$

Expressing the volume in terms of $\pi$ and decimal format, we get:
$V = 10666.6667 \pi c {m}^{3} \mathmr{and} 33510.3217 c {m}^{3}$