Question

Find the area of the part of cylinder x^2 + y^2 = 2ay that lies outside the cone
z^2 = x^2 + y^2.

Answer 1

@TuringTest Hi do you know how to do this question? thx a lot!

Answer 2

I'm a little unsure I did this right, do you know the answer?

Answer 3

convert this to polar coordinates

Answer 4

@TuringTest the answer is 16a^2

Answer 5

i always got 8a^2, what i did is like using dS=zds and then use polar coordinates integrate from 0 to pi/2 and i got 4a^2 then multiply 2, so finally got 8a^2

Answer 6

and the graph for cylinder should be at the positive x axis

Answer 7

I seem to be messing this one up... I'll let you know if I make any progress.