Use the Shell Method to Find the Volume of the Solid

question 225

Multiple Choice

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

• A) \(\frac { 16 } { 3 } \pi\)
• B) \(\frac { 8 } { 5 } \pi\)
• C) \(\frac { 16 } { 5 } \pi\)
• D) \(\frac { 32 } { 5 } \pi\)

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Definitions:

Latch Coil

A coil in a relay or electrical circuit that, once energized, maintains its state until it is specifically reset, allowing it to function as a memory element in a control system.

Unlatch Coil

An instruction or action that interrupts the current flow to a coil, allowing a relay or similar device to return to its de-energized state.

Stepper Motor

An electric motor that moves in discrete steps, allowing precise control of position and speed.

Electrical Pulses

Rapid, transient changes in the electrical potential or voltage, often used as signals in various devices.