shape of solid in 3 dimension

Question

I am confused in determining the limits of parameters of spherical coordinate system as i am not getting how will solid ask in question looks.question says'find volume of smaller wedge cut from a sphere of radius a by two planes that intersect along a diameter at an angle of 30 degrees.'please help me about the geometry of solid.

Answer 1

If I understood correctly, your sphere and your wedge will look something like

Two planes, the two faces of the slice, meeting along the diameter, the top straight edge of the slice.

You know the volume of a sphere of radius $r$ equal $V = \frac{4}{3} \pi r^3$, all it might be there to do is to count how many wedges are there in a sphere.