Use the Shell Method to Find the Volume of the Solid

question 48

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves
about the given lines.
- $y = 3 x , \quad y = x ^ { 2 }$ ; revolve about the $y$ -axis

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

---

Definitions:

Inadequate

Lacking the quality or quantity required; insufficient for a purpose.

Assets

Economic resources owned or controlled by an individual or entity, expected to produce future benefits.

Default

The failure to fulfill a financial obligation, such as not making the required payments on a loan.

Credit

The trust which allows one party to provide resources to another party wherein the second party does not reimburse the first party immediately but promises either to repay or return those resources at a later date.