Use the Shell Method to Find the Volume of the Solid

question 6

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.
- $$x = 2 \sqrt { y } , x = - 2 y , y = 1$$

• A) \(4 \pi\)
• B) \(\frac { 22 } { 15 } \pi\)
• C) \(\frac { 16 } { 3 } \pi\)
• D) \(\frac { 44 } { 15 } \pi\)

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Definitions:

Rental Rate

The price paid for the temporary use of a good, service, or property, typically expressed as a fee per time period.

Cost Minimization

The process of reducing expenses to the lowest possible level while still achieving the desired level of output or quality.

Normal Rate Of Return

A rate of return on capital that is just sufficient to keep owners and investors satisfied. For relatively risk-free firms, it should be nearly the same as the interest rate on risk-free government bonds.

Economic Loss

A situation where the cost of making a product is greater than the revenue gained from selling it, resulting in a negative economic outcome.