A Right Circular Cylinder Is Inscribed in a Sphere of Radius

question 81

Multiple Choice

A right circular cylinder is inscribed in a sphere of radius $r = 5 \mathrm {~cm}$ . Find the largest possible surface area of such a cylinder. Round the result to the nearest hundredth.

• A) \(157.08 \mathrm {~cm} ^ { 2 }\)
• B) \(177.08 \mathrm {~cm} ^ { 2 }\)
• C) \(187.08 \mathrm {~cm} ^ { 2 }\)
• D) \(167.08 \mathrm {~cm} ^ { 2 }\)
• E) \(197.08 \mathrm {~cm} ^ { 2 }\)

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Definitions:

Collective Action Problem

A situation where individuals in a group have incentives not to participate in an action that would benefit all members of the group.

Property Rights

Legal rights to possess, use, and dispose of assets or resources, which are crucial for efficient market operations and investment decisions.

Negotiations Fail

When negotiations fail, it means that parties involved in discussions cannot reach an agreement or compromise on specific issues.

Efficient Level

The optimal point of production or operation where a firm or an economy can produce goods at the lowest cost and with the best allocation of resources.