Use the Shell Method to Find the Volume of the Solid

question 39

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.
- $y = 4 x ^ { 2 } , y = 4 \sqrt { x }$

• A) \(\frac { 12 } { 5 } \pi\)
• B) \(\frac { 6 } { 5 } \pi\)
• C) \(3 \pi\)
• D) \(\frac { 3 } { 5 } \pi\)

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Definitions:

Resources

Assets, materials, and inputs needed for the production of goods and services, including time, labor, capital, and natural resources.

Excess Demand

A market condition where the quantity demanded of a good exceeds the quantity supplied, leading to shortages.

Good

A tangible item or product that fulfills a need or desire and is available for purchase.

Price Ceiling

A price ceiling is a government-imposed limit on how high a price can be charged on a product or service, intended to protect consumers from high prices.