Originally Posted by

**chinex** (1) The region bounded by the given curves is rotated about y = 9.

x=(y-10)^2 , x=1.

Find the volume V of the resulting solid by any method.

same as rotating the region bounded by y = (x-1)^2 and y = 1 about the y-axis ... recommend the method of cylindrical shells

and

(2) The region bounded by the given curves is rotated about the y-axis.

y=-x^2+15x-54, y=0.

Find the volume V of the resulting solid by any method.

the zeros of the curve will be the limits of integration ... recommend the method of washers