Use the Shell Method to Find the Volume of the Solid

question 71

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 y-axis.
- $$y = \frac { 6 } { x } , y = 0 , x = 7 , x = 9$$

• A) \(36 \pi\)
• B) \(24 \pi\)
• C) \(18 \pi\)
• D) \(12 \pi\)

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Definitions:

Optimal Solution

The best possible answer to a problem, given constraints and objectives, usually determined by mathematical models or algorithms.

Filled Cells

In manufacturing or production layouts, cells or units that are maximally utilized with machinery or equipment, optimizing space and workflow.

Stepping-stone Method

A procedure used in linear programming to find the optimal solution for transportation problems by iteratively improving the current solution.