(ii) During a snowfall a vertically aligned radio telescope completely fills to the brim with snow. The telescope is a paraboloid, described in Cartesian coordi- nates (in metres with the zaxis pointing upwards) by the surface 2=xg+y2 0z1. (a) What is the volume of snow inside the telescope? (b) The snow at the bottom becomes compactified due to the weight of the snow above it. The snow at height 2 thus has density D(z) = (100 502) kg/m3. What is the mass of the snow inside the telescope