Question

what is the volume of this sphere?
round your answer to the nearest hundredth.
16 in
cubic inches

Explanation:

Step1: Find radius of the sphere

The diameter is 16 in, so radius $r = \frac{16}{2} = 8$ in.

Step2: Apply volume formula for sphere

Volume formula: $V = \frac{4}{3}\pi r^3$. Substitute $r=8$:
$V = \frac{4}{3}\pi (8)^3 = \frac{4}{3}\pi \times 512 = \frac{2048}{3}\pi$

Step3: Calculate numerical value

$\frac{2048}{3} \times 3.1416 \approx 2144.66$

Answer:

2144.66