Question

Find the volume of the solid generated when the region enclosed by y = √x, y = 2 and x = 0 is revolved about the y – axis.

Answer 1

Since the solid is generated by revolving about the y-axis, rewrite y = √x as x = y²

Taking the limits for y, y = 0 and y = 2 (Putting x = 0 in x = y², we get y = 0)

Volume is given by