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

Explanation:

Step1: Recall volume formula

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

Step2: Identify the radius

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

Step3: Substitute values

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

Step4: Calculate the volume

First, $2^{3}=8$. Then $V=\frac{4}{3}\times3.14\times8=\frac{4\times3.14\times8}{3}=\frac{100.48}{3}\approx33.49$ (rounded to the nearest hundred - th).

Answer:

$33.49$