Question

what is the volume of this sphere?
round your answer to the nearest hundredth.
30.4 yd
cubic yards

Explanation:

Step1: Find sphere radius

The diameter is 30.4 yd, so radius $r = \frac{30.4}{2} = 15.2$ yd

Step2: Apply volume formula

Volume of sphere: $V = \frac{4}{3}\pi r^3$
Substitute $r=15.2$:
$V = \frac{4}{3}\pi (15.2)^3$

Step3: Calculate the value

First compute $(15.2)^3 = 15.2 \times 15.2 \times 15.2 = 3511.808$
Then:
$V = \frac{4}{3} \times \pi \times 3511.808 \approx \frac{4}{3} \times 3.1416 \times 3511.808$
$V \approx 14717.58$

Answer:

14717.58 cubic yards