Find the Area of the Surface Obtained by Rotating the Circle

question 9

Multiple Choice

Find the area of the surface obtained by rotating the circle $x^{2}+y^{2}=5^{2}$ about the line $y=5$ .

• A) \(25 \pi^{2}\)
• B) \(75 \pi^{2}\)
• C) \(175 \pi^{2}\)
• D) \(50 \pi^{2}\)
• E) \(100 \pi^{2}\)

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Definitions:

Progressiveness

A political or social philosophy advocating or implementing social reform or new, liberal ideas.

Tax Revenue

The income that is gained by governments through taxation, forming a significant part of their funding for public expenditures.

Elastic Demand

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

Inelastic Supply

A supply condition where quantity supplied does not change significantly when there is a change in price.