ANSWER
The volume of the sphere is [tex]113.0in^3[/tex].
EXPLANATION
The volume of a sphere is calculated using the formula;
[tex]Volume=\frac{4}{3}\pi r^3[/tex].
We were given in the question that the radius is [tex]3[/tex] inches. Therefore we substitute [tex]r=3[/tex] in to the formula for finding the volume to obtain;
[tex]Volume=\frac{4}{3}(3.14) (3)^3[/tex]
[tex]\Rightarrow Volume=\frac{4}{3}(3.14) (27)[/tex].
[tex]\Rightarrow Volume=4\times (3.14) (9)[/tex]
[tex]\Rightarrow Volume=113.04[/tex]
Rounding to the nearest tenth means we should round to one decimal place. This will give us;
[tex]Volume=113.0in^3[/tex]