# volumes of revolutions

• September 6th 2008, 02:47 PM
Musab
volumes of revolutions
how can I solve such questions:

The region http://www.mathhelpforum.com/math-he...af1283d6-1.gif in the first quadrant is bounded by the y-axis, the line y=x and the curve http://www.mathhelpforum.com/math-he...ad89c140-1.gif. Calculate the volume formed when R is rotated about the y-axis through 1 revolution
• September 6th 2008, 03:44 PM
skeeter
using the method of cylindrical shells ...

$V = 2\pi \int_0^1 x[(2-x^2)-x] \, dx$