Question

the diameter, d, of a sphere is 12.4 m. 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 $D = 12.4$ m, so $r=\frac{D}{2}=\frac{12.4}{2}=6.2$ m.

Step2: Use the volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 6.2$ m and $\pi=3.14$ into the formula: $V=\frac{4}{3}\times3.14\times(6.2)^{3}$.
First, calculate $(6.2)^{3}=6.2\times6.2\times6.2 = 238.328$.
Then, $V=\frac{4}{3}\times3.14\times238.328$.
$V=\frac{4\times3.14\times238.328}{3}=\frac{3006.45952}{3}=1002.153173$.

Step3: Round the result

Round $1002.153173$ to the nearest tenth. The result is $1002.2$ m³.

Answer:

$1002.2$ m³