Question

Help with volumes of revolution! pls .

Answer 1

Find the volume of the solid generated by revolving the region bounded by the parabola y = -x^2/4 and the line y = -1 about the line y = -2

Answer 2

what about the 1/4 ?

Answer 3

are there two lines y=-1 and y=-2?

Answer 4

y = -x^2/4 and line y = -1 is one volume being rotated around y = -2

Answer 5

I see that, so let's approach it with a suitable sketch first:

notice the symmetry and we might be able to come up with some statements, we sure will end up with disks when we revolve around a line like y=-2, so we will want to use:
\[\Large \pi \int_a^b f(x)^2dx \]