Find the Volume of the Solid Generated by Revolving the Region

question 140

Multiple Choice

Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.
-The region bounded by $y = 5 \sqrt { x } , y = 5$ , and $x = 0$ about the line $y = 5$

• A) \(\frac { 25 } { 6 } \pi\)
• B) \(\frac { 25 } { 3 } \pi\)
• C) \(\frac { 25 } { 12 } \pi\)
• D) \(\frac { 25 } { 2 } \pi\)

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Definitions:

Optimal Tax

A taxation principle aiming to maximize economic efficiency without imposing undue burdens or distortions.

Deadweight Loss

Economic efficiency loss occurring when free market equilibrium is not achieved for a good or service.

Revenues

The income generated from normal business operations and includes discounts and deductions for returned merchandise.

Tax

A financial charge or levy imposed by a government on individuals or entities to fund public expenditures, thereby shaping economic policies.