Question

A sphere has a radius of 3 inches. What is the volume of the sphere rounded to the nearest tenth? Use 3.14 for pi. 28.3 in³ 88.7 in³ 113.0 in³ 211.3 in³

Answer 1

ANSWER

The volume of the sphere is $113.0in^3$.

EXPLANATION

The volume of a sphere is calculated using the formula;

$Volume=\frac{4}{3}\pi r^3$.

We were given in the question that the radius is $3$ inches. Therefore we substitute $r=3$ in to the formula for finding the volume to obtain;

$Volume=\frac{4}{3}(3.14) (3)^3$

$\Rightarrow Volume=\frac{4}{3}(3.14) (27)$.

$\Rightarrow Volume=4\times (3.14) (9)$

$\Rightarrow Volume=113.04$

Rounding to the nearest tenth means we should round to one decimal place. This will give us;

$Volume=113.0in^3$