Use the Shell Method to Find the Volume of the Solid

question 134

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 $y = 5$


$$x = 3 y - y ^ { 2 }$$

• A) \(\frac { 63 } { 2 } \pi\)
• B) \(\frac { 63 } { 4 } \pi\)
• C) \(\frac { 27 } { 2 } \pi\)
• D) \(\frac { 189 } { 2 } \pi\)

---

Definitions:

Chemical Mediators

Substances that are released by cells and have effects on the behavior of other cells, playing crucial roles in processes like inflammation.

Vascular Permeability

The capacity of blood vessel walls to allow for the flow of substances into and out of the bloodstream.

Inflammation

A biological response of body tissues to harmful stimuli such as pathogens, damaged cells, or irritants, characterized by redness, swelling, warmth, pain, and sometimes loss of function.

Jaundice

Yellowish staining of the integument, the sclerae, and the other tissues with bile pigments.