Find the Volume of the Solid Obtained by Rotating the Region

question 67

Multiple Choice

Find the volume of the solid obtained by rotating the region bounded by $y=2 \sqrt[4]{x} \text { and } y=2 x$ about the line $y=2 .$

• A) \(\frac{16 \pi}{15}\)
• B) \(\frac{2}{9}\)
• C) \(\frac{1}{16}\)
• D) \(\frac{\pi}{9}\)
• E) \(\frac{8 \pi}{9}\)

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Definitions:

Total Revenues

The overall amount of money generated by a business, organization, or individual from its activities, before any expenses are subtracted.

Midpoint Formula

The midpoint formula is a method used to find the middle point between two coordinate points on a line segment by averaging the x-coordinates and the y-coordinates.

Supply

The total amount of a product or service that is available for purchase at various prices in a given market.

Price-Elasticity

A measure that indicates how much the quantity demanded of a good responds to a change in the price of that good, with high elasticity indicating a significant response to price changes.