A Drinking Cup Is Made in the Shape of a Right

question 154

Short Answer

A drinking cup is made in the shape of a right circular cylinder. For a fixed volume, we wish to make the total material used (the circular bottom and the cylindrical side) as small as possible. Under this condition, what is the ratio of the height to the diameter?

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Definitions:

Numeric Scale

A sequence of numbers used to measure or rate the level of something, such as pain.

Oucher Scale

A pain rating scale designed for children, using photographs and numerical scales to quantify pain intensity.

Patient-Controlled Analgesia (PCA)

A method of pain management that allows patients to self-administer prescribed doses of pain medication through a device.

Postoperative Period

The recovery phase following surgery, involving monitoring, pain management, and care to ensure proper healing.