# Thread: Plz help with volume homework due tomorrow.

1. ## Plz help with volume homework due tomorrow.

(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.

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.

2. 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
...

3. Thread closed (see MHF policy on questions that count towards final grade).