Find the volume of the part of the sphere which is inside the cylinder where are the cylindrical coordinates.
My attempt : I'm not able to visualize the sphere nor the cylinder.
For the sphere, does ? If so then I can imagine the sphere. (Centered at the origin and with radius ).
For the cylinder I don't know how to go further. I also feel it's useless to convert all in Cartesian coordinates but this way it's easier to me to visualize the volumes.