1 Aug
2023
1 Aug
'23
12:30 p.m.
[if output is wrong, derivation of wedge integration expression is pending check from start] wedge_volume = dtheta/2 I{-r_sphere..+ (r_sphere^2 - x^2) dx integration domain: x=(-r_sphere, +r_sphere) wedge_volume = dtheta/2 [ integrate(r_sphere^2) - integrate(x^2) ] indefinite integral of r_sphere^2 dx = r_sphere^2 * x indefinite integral of x^2 dx = 2x^3 evaulate fo rdomain r_sphere^2 * r_sphere - r_sphere^2 * -r_sphere = 2rsphere^3 2(r_sphere)^3 - 2(-r_sphere)^3 = 4 r_sphere^3 2rsphere^3 - 4 r_sphere^3 = -2r_sphere^3 [mistake indicated --