Volume Calculations for Hoppers

This video tutorial from the MBS Engineering Channel explains how to calculate the volume and capacity of various storage structures such as hoppers, silos, and bins. It covers different shapes including rectangular bins, cylinders, frustums of cones, and prismoids. The tutorial provides formulas and sample calculations for each type, emphasizing the importance of multiplying volume by bulk density to determine capacity. The video aims to enhance understanding of these calculations through detailed explanations and examples.

What is the main focus of the MBS Engineering Channel video?

• Calculating the weight of materials

• Understanding the history of engineering

• Calculating the volume and capacity of hoppers, silos, and bins

• Designing new engineering structures

Which of the following is NOT a type of bin or hopper discussed in the video?

• Rectangular bin

• Cylinder bin

• Triangular bin

• Frustum of cone

How is the capacity of a hopper, silo, or bin calculated?

• By dividing the volume by the bulk density

• By multiplying the volume by the bulk density

• By adding the volume and bulk density

• By subtracting the bulk density from the volume

What is the formula for calculating the volume of a rectangular bin or prismoid?

• H multiplied by L1 B1 + L2 B2 divided by three

• H multiplied by L1 B1 + L1 B2 + L2 B1 divided by two

• H multiplied by 2 L1 B1 + L1 B2 + L2 B1 + 2 L2 B2 divided by six

• H multiplied by L1 B1 + L1 B2 + L2 B1 + L2 B2

What is the volume of the rectangular bin or prismoid given in the video?

• 19 cubic meters

• 25 cubic meters

• 30 cubic meters

• 15 cubic meters

What is the formula for calculating the volume of a cylinder bin or silo?

• PK r² H

• Pi r² H

• Pi r H

• PK r H

What is the volume of the cylinder bin or silo as calculated in the video?

• 52.4 cubic meters

• 70 cubic meters

• 45 cubic meters

• 60 cubic meters

What is the formula for calculating the volume of a frustum of cone or circular hopper?

• Pi H multiplied by Capital r² + small r² + capital r into small R divided by 3

• Pi H multiplied by Capital r² + small r² divided by 3

• Pi H multiplied by Capital r + small r divided by 3

• Pi H multiplied by Capital r² + small r² + capital r into small R

What is the volume of the frustum of cone or circular hopper as calculated in the video?

• 130 cubic meters

• 126.66 cubic meters

• 135 cubic meters

• 120 cubic meters

How is the volume of a cylinder with a frustum of cone calculated?

• By dividing the volume of the cylinder by the volume of the frustum of cone

• By multiplying the volume of the cylinder by the volume of the frustum of cone

• By subtracting the volume of the frustum of cone from the volume of the cylinder

• By adding the volume of the cylinder and the volume of the frustum of cone