R is bounded below by the and above by the curve . Find the volume of the solid generated by revolving R around the .by the method of cylindrical shells.

Printable View

- Nov 7th 2006, 02:36 PMYogi_Bear_79Cylindrical Shells Help
R is bounded below by the and above by the curve . Find the volume of the solid generated by revolving R around the .by the method of cylindrical shells.

- Nov 7th 2006, 04:40 PMSoroban
Hello, Yogi!

Quote:

is bounded below by the -axis and above by the curve .

Find the volume of the solid generated by revolving around the -axis

by the method of cylindrical shells.

The shells formula is: .

We have: .

Integrate by parts:

. .

We have: .

. .

. .

- Nov 8th 2006, 01:04 PMgalactus
We can also check by doing it the 'other' way....washers.