what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 6 in cubic…

Explanation:

Step1: Find the radius

The diameter is 6 in, so the radius $r=\frac{6}{2}=3$ in.

Step2: Use the volume - formula for a sphere

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 3$ and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times3^{3}$.

Step3: Calculate the volume

First, calculate $3^{3}=3\times3\times3 = 27$. Then, $\frac{4}{3}\times3.14\times27=4\times3.14\times9$ (since $\frac{4}{3}\times27 = 4\times9$). $4\times3.14\times9=113.04$ cubic inches.

Answer:

113.04