Question

Please help me with this problem.
Find the volume lying the sphere x^2+y^2+z^2=2z and inside the paraboloid z=x^2+y^2

Answer 1

x^2+y^2+z^2=2z << you sure??

Answer 2

Yes please

Answer 3

the sphere is degenerate ... has radius zero.

Answer 4

ok

Answer 5

@Brotherman

x^2 + y^2 + z^2 - 2z + 1 = 1

x^2+y^2+(z-1)^2 = 1

The sphere is not degenerate.

Answer 6

i was thinking radius of 1 as well ...

Answer 7

woops!! sorry my bad :((

Answer 8

solving those two equations we get
x^2+y^2+(z-1)^2 = 1
z=x^2+y^2
----------------------
z = 0 to z = x^2+y^2 = 1