Manipulate[
 ParametricPlot3D[{Sin[theta] Cos[phi],
   Sin[theta] Sin[phi], Cos[theta]},
  {theta, 0, t}, {phi, 0, p},
  PlotRange -> {{-1, 1}, {-1, 1}, {-1, 1}}],
 {t, 0.1, Pi}, {p, 0.1, 2 Pi}]

[f,t] = meshgrid(linspace(0,2*pi,361),linspace(0,pi,361));
x = sin(t)*cos(f);
y = sin(t)*sin(f);
z = cos(t);
surf(x,y,z)