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This project utilizes integral calculus to find the exact volume of a non-uniform cylindrical-shaped silo used to store wheat and calculate the cost of material utilized to build such silo. Due to its non-uniform shape, the silo is divided into two sections and the volume of each is calculated. The final volume for the silo with the measurements provided is approximately 2330.02 meters cubic and surface area of 1074.96 meters squared, which is considered to be a large capacity silo. With such a large capacity silo there are costs to be considered, such as the material cost which is calculated for steel.

Creative Commons License

Creative Commons License

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Mathematics Commons




Arcadii Grinshpan, Mathematics and Statistics

Scott Campbell, Chemical and Biomedical Engineering

Marcio Salvadego, Moinho Paulista, Brazil

Problem Suggested By:

Marcio Salvadego