Question

the radius, r, of a sphere is 6.8 mm. 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.) v = □ mm³

Explanation:

Step1: Recall volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi R^{3}$.

Step2: Substitute the radius value

Given $R = 6.8$ mm and $\pi=3.14$, we substitute into the formula: $V=\frac{4}{3}\times3.14\times(6.8)^{3}$.
First, calculate $(6.8)^{3}=6.8\times6.8\times6.8 = 314.432$.
Then, $\frac{4}{3}\times3.14\times314.432=\frac{4\times3.14\times314.432}{3}$.
$4\times3.14\times314.432 = 3948.81792$.
$\frac{3948.81792}{3}=1316.27264$.

Step3: Round the result

Rounding 1316.27264 to the nearest tenth gives 1316.3.

Answer:

$1316.3$ mm$^{3}$