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

Answer:

The radius of the silo is 3.49 m.

Step-by-step 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

$r=\sqrt{\dfrac{V}{\pi h}} \\\\r=\sqrt{\dfrac{1152}{\dfrac{22}{7}\times 30 }} \\\\r=3.49\ m$

So, the radius of the silo is 3.49 m.