Question

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

Explanation:

Step1: Recall the volume formula for a sphere

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

Step2: Substitute the given radius into the formula

Given \( r = 3\) inches. Substitute \( r = 3\) into the formula: \( V=\frac{4}{3}\pi(3)^{3}\).
First, calculate \( (3)^{3}=3\times3\times3 = 27\). Then \( V=\frac{4}{3}\pi\times27\).
Since \(\frac{4}{3}\times27=4\times9 = 36\), the formula becomes \( V = 36\pi\).

Step3: Calculate the numerical value

Using \(\pi\approx3.14159\), then \( V=36\times3.14159\).
\(36\times3.14159 = 113.09724\).

Answer:

\(113.10\) cubic inches