Question

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

Explanation:

Step1: Recall volume formula for sphere

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

Step2: Substitute radius into formula

$V=\frac{4}{3}\pi(4)^{3}=\frac{4}{3}\pi\times64=\frac{256\pi}{3}$

Step3: Calculate the value and round

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

Answer:

$268.08$