The surfaces = 3, = 5, = 100, = 130, z = 3, and z = 4.5 define a closed surface.

The surfaces ρ = 3, ρ = 5, ϕ = 100°, ϕ = 130°, z = 3, and z = 4.5 define a closed surface. Find

(a) The enclosed volume;

(b) the total area of the enclosing surface;

(c) The total length of the twelve edges of the surfaces;

(d) The length of the longest straight line that lies entirely within the volume.