what is the volume of this sphere? use $piapprox3.14$ and round your answer to the nearest hundredth. 6 cm…

Explanation:

Step1: Find the radius

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

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 $3^{3}=27$. Then, $\frac{4}{3}\times3.14\times27 = 4\times3.14\times9=113.04$ $cm^{3}$.

Answer:

113.04