Question

A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below:

Answer 1

The volume of grains that the silo can contain is equal to the volume of the silo itself. The figure is a composite of a cylinder and a cone.

To calculate for the volume of the cylinder, use the following equation:
    V = πr²h
where r is the radius and h is the height

Substituting the known values, 
    V = π(2 ft)²(6 ft)
    V = 24π ft³ = 75.4 ft³

Next, solve for the volume of the cone part through the equation,
   V = πr²h/3

Substituting,
   V = π(2 ft)²(10.5 - 6 ft) / 3
    V = 6π ft³ = 18.85 ft³

Then, add up the calculated volumes.
  total volume = 75.4 ft³ + 18.85 ft³
   total volume = 94.25 ft³

ANSWER: total volume = 94.25 ft³