Question

Farmer Brown’s silo is a circular cylinder with base diameter 12 feet and height 27 feet. What is

the capacity of this silo? If he can get $5.00 a bushel for corn and his silo is full of it, what is his
revenue if one bushel of corn is about 2 cubic feet.

Answer 1

3054.02ft³

$7635.1

Explanation:

Given parameters:

Base diameter = 12ft

Height = 27ft

Unknown:

Capacity of the silo = ?

Solution:

The capacity of the silo is the same as the volume of the silo. Since we are dealing with a cylindrical body,

Volume of the silo = π r² h

where r is the radius of the silo

h is the height

From the given diameter, we can determine the radius of the silo;

radius =
`(12)/(2)` = 6ft

Input the parameters to find the volume of the silo;

Volume = 3.142 x 6² x 27 = 3054.02ft³

B.

If 1 bushel of corn costs $5;

And 1 bushel = 2ft³

The number of bushel in the derived volume;

2ft³ = 1 bushel

3054.02ft³ =
`(3054.02)/(2)` = 1527.01bushels

So;

1 bushel = $5

1527.01bushels = 5 x 1527.01 = $7635.1