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:

Reactive Power

The portion of electricity that oscillates between the source and load in an AC system, essential for maintaining the voltage to deliver active power (work) but itself does no work.

RC Parallel Circuit

A circuit configuration where a resistor (R) and a capacitor (C) are connected alongside each other and share the same two nodes, resulting in a specific impedance.

R

In electrical engineering, symbolically represents resistance, the property of a material that opposes the flow of electric current, measured in ohms (Ω).

Z

Often represents impedance in electrical circuits, a measure of opposition to AC including both resistance and reactance.