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AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 8

Lesson 11: Volume with washer method: revolving around x- or y-axis
Math
AP®︎/College Calculus AB
Applications of integration
Volume with washer method: revolving around x- or y-axis
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Washer method: revolving around x- or y-axis

AP.CALC: CHA‑5 (EU), CHA‑5.C (LO), CHA‑5.C.3 (EK)
Google Classroom

Problem

Region R is enclosed by the curves y, equals, x, squared and y, equals, 4, x, minus, x, squared.
What is the volume of the solid generated when R is rotated about the x-axis?
Give an exact answer in terms of pi.
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