what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 8 mm 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 8 mm, so the radius $r=\frac{8}{2}=4$ mm.

Step3: Substitute values

Substitute $r = 4$ and $\pi=3.14$ into the formula: $V=\frac{4}{3}\times3.14\times4^{3}$. First, calculate $4^{3}=4\times4\times4 = 64$. Then, $V=\frac{4}{3}\times3.14\times64$. $V=\frac{4\times3.14\times64}{3}=\frac{803.84}{3}\approx267.95$ (rounded to the nearest hundred - th).

Answer:

$267.95$