A grain silo is in the shape of a cylinder with a hemisphere top. They cylinder is 20 feet tall. The volume of the silo is 2106 cubic feet. Find the radius of the silo.

The radius of the silo is 5.788 feet.

Step-by-step explanation:

Since the silo has the shape of a cylinder, then;

Volume of the silo = Volume of a cylinder = h

Where: r is the radius of the silo, and h is the height.

Given that: volume = 2106 cubic feet, and height = 20 feet.

Then,

2106 = x x 20

2106 =

2106 x 7 = 440

14742 = 440

=

 = 33.5045

⇒ r =

     = 5.78831

r = 5.788 feet

The radius of the silo is 5.788 feet.