2. Casing design. Consider a casing 3 made by drilling a cylindrical hole of radius 3 cm throughthe center of a. spherical solid of radius 5 cm (i.e., the axis of the cylinder passes through the center of the sphere). The spherical solid is made of a composite material with a. non—uniform density 1p = F g/cma, where r is the distance (measured in cm) from the centre of the sphere. (a) Sketch S and identify its dimensions.(h) Find the mass of S using spherical coordinates. Check your answer using MATLAB.