Use the Shell Method to Find the Volume of the Solid

question 64

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.
- $$y = 4 | x | , y = 4$$

• A) \(\frac { 32 } { 3 } \pi\)
• B) \(\frac { 4 } { 3 } \pi\)
• C) \(\frac { 64 } { 3 } \pi\)
• D) \(\frac { 1024 } { 3 } \pi\)

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Definitions:

Return on Assets (ROA)

A financial ratio indicating how profitable a company is relative to its total assets, calculated as net income divided by total assets.

Discounted Payback

The period of time it takes for the cash flows from an investment to equal the initial cost of the investment, accounting for the time value of money.

Rate of Return

The improvement or reduction in the value of an investment within a specified interval, articulated as a percentage of the investment’s first cost.

Cash Inflow

Money coming into a business or project from various sources, including sales, investments, and financing activities.