# Math Help - volumes of revolutions

1. ## volumes of revolutions

how can I solve such questions:

The region in the first quadrant is bounded by the y-axis, the line y=x and the curve . Calculate the volume formed when R is rotated about the y-axis through 1 revolution

2. using the method of cylindrical shells ...

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