a wedge made of a stack of triangles, each one with area of 1/2 r^2 dtheta where r is the radius of a sphere slice uhh so that's really sqrt(r^2 - x) where x runs from -r to +r
two different r's here let's subscript them a wedge made of a stack of triangles each one with area of 1/2 r_slice^2 dtheta now, r_slice^2 + height^2 = r_sphere^2 so if we run x=height from -r to r r_slice = sqrt(r_sphere^2 - x^2) then maybe plug in to other expression dvolume = 1/2 sqrt(r_sphere^2 - x^2)^2 dtheta dvolume = 1/2(r_sphere^2 - x^2) dtheta maybe unsure
