Question

The volume of a cylinder with height h h and radius r r can be found using the formula V = ? r 2 h V=?r2h Find the volume of a cylinder is 785.4 ft 3 ft3 . If the height is twice the radius what is the radius of the cylinder

Answer 1

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

$\frac{V }{2\pi } = r^{3}$  

Take the cube root of each side

$r = \sqrt[3]{\frac{V }{2\pi}}$

$= \sqrt[3]{\frac{785.4 }{2\pi }}$

$= \sqrt[3]{125.00}$

= 5.000 ft

The radius of the cylinder is 5.000 ft.