Question

find the volume of the sphere. either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth. 8 units³

Explanation:

Step1: Identify radius

The diameter is 8, so radius $r = \frac{8}{2} = 4$.

Step2: Apply volume formula

Volume of sphere: $V = \frac{4}{3}\pi r^3$. Substitute $r=4$: $V = \frac{4}{3}\pi(4)^3 = \frac{4}{3}\pi(64) = \frac{256}{3}\pi$.

Step3: Calculate decimal value

Use $\pi \approx 3.14$: $V \approx \frac{256}{3} \times 3.14 \approx 85.333 \times 3.14 \approx 267.95$.

Answer:

$\frac{256}{3}\pi$ or 267.95