Use the Shell Method to Find the Volume of the Solid

question 219

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated axis.
-About the $x$ -axis

• A) \(\frac { 4 } { 3 } \pi\)
• B) \(\frac { 16 } { 3 } \pi\)
• C) \(8 \pi\)
• D) \(\frac { 8 } { 3 } \pi\)

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Definitions:

Experimental Group

In research, the group of subjects that receives the treatment or intervention being tested, as opposed to the control group which does not.

Independent Variable

The variable in an experiment that is manipulated or changed by the researcher to investigate its effect on the dependent variable.

Rate Of Productivity

A measure of the efficiency of production, often quantified as the amount of output per unit of input in a given time period.

Loudness Of Music

The perceived volume or intensity of sound, particularly in the context of music, which can influence emotional response and physical health.