Question

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 cyl

Which of the following could be used to calculate the total volume of grains that can be stored in the silo? (6 points)

π(2ft)2(8ft) + one over three π(2ft)2(9.5ft − 8ft)
π(8ft)2(2ft) + one over three π(2ft)2(9.5ft − 8ft)
π(2ft)2(8ft) + one over three π(9.5ft − 8ft)2(2ft)
π(8ft)2(2ft) + one over three π(9.5ft − 8ft)2(2ft)

Answer 1

To find the total volume of the silo, we could find the volume of the Cylinder part and the volume of the Cone part, then add those volumes together.
The volume of a cylinder is pi*(radius^2)*height; in other words, the area of the circular base multiplied by the height.
The volume of a cone is similar: pi*(radius^2)*height/3
Which of the expressions in the answer choices matches the format:
pi*(radius of cylinder)*(height of cylinder) + pi*(radius of cone)*(height of cone)/3

Answer 2

thank you