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

Verified Answer :

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;

\(Volume=113.0in^3\)