A Grain Silo Has the Shape of a Right Circular

question 128

Multiple Choice

A grain silo has the shape of a right circular cylinder surmounted by a hemisphere (see the figure) . If the silo is to have a capacity of , find the radius and height of the silo that requires the least amount of material to construct. Hint: The volume of the silo is , and the surface area (including the floor) is .

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Definitions:

Lungs

Respiratory organs in the chest that intake oxygen and expel carbon dioxide as part of the breathing process.

Respiration

The process by which living organisms exchange oxygen and carbon dioxide, crucial for energy production and metabolic functions.

Carbon Dioxide

A colorless, odorless gas produced by burning carbon and organic compounds and by respiration, absorbed by plants in photosynthesis.

Hemoglobin

A protein found in red blood cells responsible for transporting oxygen from the lungs to the rest of the body and returning carbon dioxide from the body to the lungs.