Find the Volume of the Solid Generated by Revolving the Region

question 152

Short Answer

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line. Sketch the region and a representative rectangle.
$y = 4 - x ^ { 2 } , y = 0 ;$ the line $x = - 2$

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Definitions:

Total Profit

The overall financial gain made by a business after subtracting all costs and expenses from the total revenue.

Marginal Profit

The additional profit earned by producing and selling one additional unit of a good or service.

Marginal Product

The additional output that is produced by adding one more unit of a specific input, holding all other inputs constant.

Variable Input

An input whose quantity can be changed in the short term to adjust production levels, such as labor or raw materials.