Use the Shell Method to Find the Volume of the Solid

question 253

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) \(19 \pi\)
• B) \(18 \pi\)
• C) \(\frac { 19 } { 3 } \pi\)
• D) \(\frac { 38 } { 3 } \pi\)

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Definitions:

Membrane-Bound Receptor

Receptor molecule, such as a hormone receptor, that is bound to the plasma membrane of the target cell.

Cyclic GMP

Cyclic GMP (cGMP) is a secondary messenger important in many biological processes, including vision and vasodilation.

Water-Soluble Hormones

Hormones that are soluble in water, allowing them to circulate freely in the blood and interact with specific receptors.

Plasma Membrane

The bilayer of lipids surrounding the cell's cytoplasm, which controls the passage of elements into and out of the cell.