Question

what is the volume of this sphere? round your answer to the nearest hundredth. 8 in cubic inches

Explanation:

Step1: Recall volume formula

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

Step2: Identify the radius

The diameter of the sphere is given as 8 inches, so the radius $r=\frac{8}{2}=4$ inches.

Step3: Substitute radius into formula

$V=\frac{4}{3}\pi(4)^{3}=\frac{4}{3}\pi\times64=\frac{256\pi}{3}$ cubic - inches.

Step4: Calculate and round

$V=\frac{256\pi}{3}\approx\frac{256\times3.14159}{3}\approx268.08$ cubic inches.

Answer:

268.08