Question

the diameter, d, of a sphere is 8 cm. calculate the spheres volume, v. use the value 3.14 for π, and round your answer to the nearest tenth. (do not round any intermediate computations.)

Explanation:

Step1: Find the radius

The radius $r$ of a sphere is half of the diameter. Given $D = 8$ cm, so $r=\frac{D}{2}=\frac{8}{2}=4$ cm.

Step2: Use the volume formula

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 4$ cm and $\pi=3.14$ into the formula: $V=\frac{4}{3}\times3.14\times4^{3}$.
First, calculate $4^{3}=4\times4\times4 = 64$. Then $V=\frac{4}{3}\times3.14\times64=\frac{4\times3.14\times64}{3}=\frac{803.84}{3}\approx267.9$ $cm^{3}$.

Answer:

$267.9$ $cm^{3}$