Question

A grain silo is shaped like a cylinder with a cone-shaped top. The cylinder is 30 feet tall. The volume of the silo is 1152 cubic feet. Find the radius of the silo.

Answer 1

The radius of the silo is 3.49 m.

Explanation:

We have,

Height of the cylinder, h = 30 ft

Volume of cylindrical shaped grain silo,
`V=1152\ ft^3`

It is required to find the radius of silo. The formula of volume of cylinder is given by :

`V=\pi r^2h`

r is radius

`r=\sqrt{(V)/(\pi h)} \\\\r=\sqrt{(1152)/((22)/(7)* 30 )} \\\\r=3.49\ m`

So, the radius of the silo is 3.49 m.