Question

Using spherical coordinates, find the volume of the solid
inside $$z = (x^2 + y^2)^(1/2) $$
and bounded by $$ z^2 + x^2 + y^2 = 1, and z^2 + x^2 + y^2 = 4 $$

Answer 1

can you sketch the region (volume) ?

Answer 2

where $$ 0<= p <= 2 $$ and $$ 0 <= \theta <= 2 \pi $$
but I can't find phi. :/

Answer 3

in cylindrical coords, x^2 + y^2 is r^2 (measured from the z-axis)
the cone has the equation z= r