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

Answer:

3054.02ft³

$7635.1

Step-by-step 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  = $\frac{12}{2}$  = 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 = $\frac{3054.02}{2}$   = 1527.01bushels

So;

         1 bushel = $5

    1527.01bushels =   5 x 1527.01 = $7635.1