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A Solid Is Formed by Adjoining Two Hemispheres to the Ends

question 32

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A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder.The total volume of the solid is 28 cubic centimeters.Find the radius,r,of the cylinder that produces the minimum surface area.Round your answer to two decimal places. ​


Definitions:

Rational Actors

Individuals or entities that make decisions based on logical reasoning, often within the context of economic theory, aiming to maximize utility or benefit.

Exchange Theory

A social theory that views interactions and relationships as transactions where individuals seek to maximize rewards and minimize costs.

Decision-Making

The cognitive process of choosing a course of action among multiple alternatives, often involving considerations of risk and reward.

Coveted Rewards

Highly desired benefits or prizes that individuals or groups seek to obtain, often driving competition and motivation.

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