what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 4 in cubic…

Explanation:

Step1: Find the radius

The diameter is 4 in, so the radius $r = \frac{4}{2}=2$ in.

Step2: Apply volume - formula

The volume formula of a sphere is $V=\frac{4}{3}\pi r^{3}$. Substitute $r = 2$ and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times2^{3}$.

Step3: Calculate the volume

First, calculate $2^{3}=8$. Then, $V=\frac{4}{3}\times3.14\times8=\frac{4\times3.14\times8}{3}=\frac{100.48}{3}\approx33.49$ cubic inches.

Answer:

33.49