I am not sure how to tackle this one.
find the volume of y=x+1: x=0 and x=2, rotated about the y axis.
The previous question to this i had to work out the volume rotated about the x axis, this is where i got the points x=0 and x=2 from, but now they want me to find the volume of the solid about the yaxis. Should i sub the two x numbers into the function, to obtain y values? than work from there.
as stated by Fernando, the three given lines do not enclose a region in the plane.
however, if you're speaking of the region in quadrant I bounded by the given lines as shown in the graph ...
1. rotation about the x-axis
2. rotation about the y-axis
a. using the method of cylindrical shells w/r to x
b. using the methods of disks and washers w/r to y (requires two integrals)
c. finally, and probably the easiest, using geometry (cylinder volume - cone volume)