The figure given is a cylinder.
The volume of a cylinder is given by the formula:
[tex]V=\pi r^2h[/tex]
From the data given
The height is given to be 15 inches
The volume is also given to be 7,959.9 cubic inches
pi is 3.14
Upon substituting the values into the equation to solve for r, we will obtain
[tex]\begin{gathered} 7959.9=3.14\times r^2\times15 \\ 7959.9=47.1r^2 \end{gathered}[/tex][tex]\frac{47.1r^2}{47.1}=\frac{7959.9}{47.1}[/tex]
[tex]r^2=169[/tex][tex]\begin{gathered} r=\sqrt[]{169} \\ r=13\text{ inches} \end{gathered}[/tex]
Radius is 13 inches
