Use the Method of Cylindrical Shells to Find the Volume $y = \sqrt { 16 - x ^ { 2 } } , y = - x + 4 ;$

question 43

Essay

Use the method of cylindrical shells to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated axis. Sketch the region and a representative rectangle.
$y = \sqrt { 16 - x ^ { 2 } } , y = - x + 4 ;$ the $y$ -axis

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Definitions:

Contra Account

An account that is used to reduce the value of a related account on a financial statement and presents the net balance of both accounts.

Accumulated Depreciation

The total amount of depreciation expense that has been recorded against a fixed asset since it was put into use.

Anticipated Benefits

Anticipated benefits are the expected positive outcomes or gains that result from particular actions or investments.

Useful Life

The expected period over which an asset is anticipated to be used by an organization, or the number of production or similar units expected to be obtained from the asset.