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2. A full fuselage and tail paint scheme can add signicant mass to an aircraft, affecting its operating costs. According to Boeingt the extra mass can be about 55 kg for a 717 up to 250 kg for a 747. A rotated section of fuselage {of radius 3 In) is depicted below; its axis of symmetry is aligned with the zaxis. A red decal is to be painted on this section with its domain restricted to d) E [qr/4, 311/4] and z E [- sin(-), sin(qb]]. Compute the mass of paint required if the areal density of applied paint is 1- = 0.012 g/ 0112 (this assumes a constant thickness of 1 pm)