Question

the radius, r, of a sphere is 4.8 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.) v = □ m³

Explanation:

Step1: Recall volume formula

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

Step2: Substitute values

Substitute $R = 4.8$ m and $\pi=3.14$ into the formula: $V=\frac{4}{3}\times3.14\times(4.8)^{3}$.
First, calculate $(4.8)^{3}=4.8\times4.8\times4.8 = 110.592$.
Then, $\frac{4}{3}\times3.14\times110.592=\frac{4\times3.14\times110.592}{3}$.
$4\times3.14\times110.592 = 442.368\times3.14=1389.05552$.
$\frac{1389.05552}{3}=463.0185067$.

Step3: Round the result

Rounding $463.0185067$ to the nearest tenth gives $463.0$.

Answer:

$463.0$ m$^{3}$