Use the Shell Method to Find the Volume of the Solid

question 15

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and
lines about the x-axis.
- $$\mathrm { x } = \frac { 1 } { 6 } \mathrm { e } ^ { 2 } , \mathrm { y } = 0 , \mathrm { x } = 0 , \mathrm { y } = 1$$

• A) \(\frac { \pi } { 6 } ( e - 1 )\)
• B) \(6 \pi ( \mathrm { e } - 1 )\)
• C) \(3 \pi \mathrm { e }\)
• D) \(\pi ( e - 1 )\)

---

Definitions:

Dehydration

A condition that occurs when the body loses more fluids than it takes in, leading to a deficiency of water and essential salts and minerals.

Chronic Acquired Pure Red Cell Aplasia

A rare disorder where the bone marrow fails to produce red blood cells, leading to anemia over a long-term period.

Erythrocyte Sedimentation Rate

A blood test that measures how quickly red blood cells settle at the bottom of a test tube, indicating inflammation in the body.

Neoplastic Processes

Refers to the pathophysiological processes involved in the development and progression of neoplasms or tumors.