Question

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

Explanation:

Step1: Find the radius

The diameter is 28.2 mm, so radius $r = \frac{28.2}{2} = 14.1$ mm.

Step2: Apply volume formula

Volume of sphere $V = \frac{4}{3}\pi r^3$. Substitute $r=14.1$:
$V = \frac{4}{3}\pi (14.1)^3$
Calculate $(14.1)^3 = 14.1 \times 14.1 \times 14.1 = 2803.221$
$V = \frac{4}{3}\pi \times 2803.221 ≈ \frac{4}{3} \times 3.1416 \times 2803.221 ≈ 11761.87$

Answer:

11761.87