The volume when revolved about the x-axis is
Now, can you come up with an integral where you revolve it around y=k.
Set it up, integrate, then set equal to the above result and solve for k.
It is the same when y = -54/5 = -10.8
The region R is bounded by y= -(x-2)^2 and y=-9. There is a number k, k < -9, such that when R is revolved about the line y=k, the resulting solid has the same volume as the when the region R is revolved about the x-axis. Set up, but don't solve, the integral expression that can be used to find k. I am having trouble with the k integrand part. help would be appreciated. Thanks!!