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 .

---

Definitions:

Deadweight Loss

The loss of economic efficiency that occurs when the equitable balance of supply and demand is not achieved due to market distortion.

Tax Increases

Governmental action to raise the amount of money collected from taxes, often affecting income, sales, or property taxes.

Deadweight Loss

An inefficiency in the market where the total surplus of producer and consumer is not maximized due to factors like taxes or subsidies.

Elastic Demand

A situation where the quantity demanded of a good or service significantly changes in response to a change in price.