what is the volume of this sphere? use $piapprox3.14$ and round your answer to the nearest hundredth. 8 cm…

Explanation:

Step1: Find the radius

The diameter is 8 cm, so the radius $r=\frac{8}{2}=4$ cm.

Step2: Apply the volume - formula for a sphere

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 4$ cm and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times4^{3}$.

Step3: Calculate the value

First, calculate $4^{3}=4\times4\times4 = 64$. Then, $V=\frac{4}{3}\times3.14\times64=\frac{4\times3.14\times64}{3}=\frac{803.84}{3}\approx267.95$ $cm^{3}$.

Answer:

267.95