Answer :
SOLUTION:
[tex]V=\pi r^2h[/tex]We want to make r the subject of the formula here,
[tex]\begin{gathered} r^2=\frac{V}{\pi h} \\ \\ r=\sqrt{\frac{V}{\pi h}} \end{gathered}[/tex]From the question,
V = 314 cubic inches, h = 4 inches.
We find the radius to be;
[tex]\begin{gathered} r=\sqrt{\frac{314}{4\times3.14}} \\ \\ \\ r=\sqrt{25} \\ \\ r=5 \end{gathered}[/tex]Thus, the radius of the bucket is 5 inches