A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below. The figure shows a silo shaped as a closed cylinder with a conical end. The diameter of the silo is 4 ft, the length of the cylindrical part is 10 ft, and the entire length of the silo is 13 ft.. . What is the total volume of grains that can be stored in the silo?

total volume = 94.25 ft³

Step-by-step explanation:

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

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