AP Calculus AB : How to find volume of a region

Study concepts, example questions & explanations for AP Calculus AB

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Example Questions

Example Question #1 : How To Find Volume Of A Region

Consider the region bounded by the -axis, the line , and the function , where .  Find the volume of the solid generated by rotating the region described about the line .

Possible Answers:

Correct answer:

Explanation:

To find the volume, one would use the washer method:

For this problem: .  So, the following integral would give the volume:

, evaluated from  to .

 

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