Use the Shell Method to Find the Volume of the Solid

question 150

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated line.
-About the line $y = 1$

• A) \(\frac { 20 } { 7 } \pi\)
• B) \(\frac { 15 } { 14 } \pi\)
• C) \(\frac { 15 } { 7 } \pi\)
• D) \(\frac { 10 } { 7 } \pi\)

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Definitions:

Joint Tenant

An individual co-owning property with one or more persons, where each owns an equal share, and upon death, the interest passes to the surviving co-owners.

Chosen Heirs

Individuals or entities designated to receive inheritance under a will or through state intestacy laws in the absence of a will.

Fee Simple Absolute

An ownership interest in land in which the owner has the greatest possible aggregation of rights, privileges, and power. The owner can use, possess, or dispose of the property as he or she chooses during his or her lifetime. On death, the interest in the property passes to the owner’s heirs.

Disposition

The act of selling, giving away, or disposing of property; also pertains to the inclination or temperament of a person.