what is the volume of this sphere? round your answer to the nearest hundredth. 4 in cubic inches

Explanation:

Step1: Recall sphere volume formula

The volume $V$ of a sphere is $V = \frac{4}{3}\pi r^3$, where $r$ is the radius.

Step2: Identify the radius

The sphere has a radius $r = 4$ in.

Step3: Substitute radius into formula

$V = \frac{4}{3}\pi (4)^3 = \frac{4}{3}\pi (64) = \frac{256}{3}\pi$

Step4: Calculate and round to hundredth

$V \approx \frac{256}{3} \times 3.1416 \approx 268.08$

Answer:

268.08 cubic inches