Answer: [tex]9\ ft[/tex]
Step-by-step explanation:
Given
Height of the cylinder [tex]h=5\ ft[/tex]
Volume of the cylinder [tex]V=1271.7\ ft^3[/tex]
The volume of the cylinder is given by [tex]V=\pi r^2h[/tex]
Consider r be the radius of the circle
[tex]\Rightarrow 1271.7=\pi r^2\cdot 5\\\\\Rightarrow r^2=\dfrac{1271.7}{3.142\times 5}\\\\\Rightarrow r^2=80.948\\\Rightarrow r=8.99\approx 9\ ft[/tex]
Thus, the radius of the cylinder is [tex]9\ ft[/tex]
