Use spherical coordinates find the volume of the solid that

Question

1.) Use spherical coordinates.

Find the volume of the solid that lies within the sphere x² + y² + z² = 25, above the xy-plane, and below the cone z = √(x² +y²).

2.) Use cylindrical or spherical coordinates, whichever seems more appropriate.

Find the volume of the smaller wedge cut from a sphere of radius 6 by two planes that intersect along a diameter at an angle of π/4.