Question

what is the volume of this sphere? round your answer to the nearest hundredth. 9 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 radius value

The radius $r = 9$ inches.

Step3: Substitute and calculate

Substitute $r = 9$ into the formula: $V=\frac{4}{3}\pi(9)^{3}=\frac{4}{3}\pi\times729 = 972\pi$.

Step4: Approximate the value

Using $\pi\approx3.14159$, we have $V\approx972\times3.14159 = 3053.63$.

Answer:

$3053.63$