Answer:
[tex]r=\sqrt{\frac{V}{3\pi}}\\\\r\approx 5.00\ ft[/tex]
Step-by-step explanation:
-The volume of a cylinder is given by the formula:
[tex]V=3\pi r^2[/tex]
#We make r the subject of the formula:
[tex]V=3\pi r^2\\\\r^2=\frac{V}{3\pi}\\\\r=\sqrt{\frac{V}{3\pi}}[/tex]
#We then substitute for the stated volume and solve for r:
[tex]r=\sqrt{\frac{V}{3\pi}}, V=236\\\\\therefore r=r=\sqrt{\frac{236}{3\pi}}\\\\r=5.00404\approx\ 5.00\ ft[/tex]
Hence, the cylinder's radius is approximately 5.00 ft
