Answer:
5.000 ft
Step-by-step explanation:
The formula for the volume of a cylinder is
V = πr²h
Data:
V = 785.4 ft³
h = 2r
Calculations:
V = πr²h = πr²(2r) = 2πr³
Divide each side by 2π
[tex]\frac{V }{2\pi } = r^{3}[/tex]
Take the cube root of each side
[tex]r = \sqrt[3]{\frac{V }{2\pi}}[/tex]
[tex]= \sqrt[3]{\frac{785.4 }{2\pi }}[/tex]
[tex]= \sqrt[3]{125.00}[/tex]
= 5.000 ft
The radius of the cylinder is 5.000 ft.
