These questions beyond 3D really confuse me any help would be greatly appreciated. I'll paste the entire question below.

V G. 10. a. ii) The equation x ty +z +t' = rad defines a (hyper)sphere of radius rad in four dimensions. Use a system of double polar coordinates and the appropriate volume conversion factor to give a formula that measures the four dimensional volume of this (hyper) sphere of radius rad.Tip: Agreeing that R stands for everything inside and on the four dimensional sphere of radius rad, you will also agree that its volume is SSS, axdydzat . Double polar coordinates mean: Clear [x, y, z, t, r, s, u, v, rad]; x [r_, s_ V_] = r Cos[s] ; y [r_, s_ , u_, v_] = r Sin[s]; z [r_, S_, u_, = u Cos [v] ; t [r_, s_, u V_ = u Sin[v] ; You let s and v run from 0 to 2 it, and to see what r and u do, substitute into x - ty +z' +t' = rad' : TrigExpand [x [r, s, u, v]^2 + y[r, s, u, v]^2 + z[r, s, u, v]^2 + t[r, s, u, v]^2] == rad^2 ro + u" == rad This tells you to put r[p, q] = p Cos[q], and u[p, q] = p Sin[q], to let p run from 0 to rad, and to let q run from 0 to Watch to be sure that your volume conversion factor stays positive. This hypersphere does not have 4D volume 0