If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Washer method: revolving around other axes

AP.CALC: CHA‑5 (EU), CHA‑5.C (LO), CHA‑5.C.4 (EK)
You might need: Calculator


Let R be the region enclosed by the curves y, equals, square root of, x, end square root and y, equals, start fraction, x, divided by, 3, end fraction.
A solid is generated by rotating R about the line x, equals, minus, 1.
What is the volume of the solid?
Give an exact answer in terms of pi.