Question

what is the volume of this sphere? round your answer to the nearest hundredth. 31.8 mm cubic millimeters

Explanation:

Step1: Find the radius

The diameter $d = 31.8$ mm, and the radius $r=\frac{d}{2}=\frac{31.8}{2}=15.9$ mm.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 15.9$ into the formula: $V=\frac{4}{3}\pi(15.9)^{3}$.

Step3: Calculate the volume

$V=\frac{4}{3}\times\pi\times(15.9)^{3}=\frac{4}{3}\times\pi\times4019.679\approx\frac{4\times4019.679\times\pi}{3}\approx16781.44$.

Answer:

$16781.44$