Question: Previous Problem Problem List Next Problem (1 point) Suppose the solid W in the figure is the spherical half-shell consisting of the points above the

Previous Problem Problem List Next Problem (1 point) Suppose the solid W in the figure is the spherical half-shell consisting of the points above the xy-plane that are between concentric spheres centered at the origin of radii 2 cm and 8 cm. Suppose the density & of the material increases linearly with the distance from the origin, and that at the 4.04 inner surface the density is 6 g/cm' while at the outer surface it is 8 g/cm (a) Using spherical coordinates, write o as a function of p. Enter p as rho. 09 8(p) =[ (b) Set up the integral to calculate the mass of the shell in the form below. If necessary, enter o as phi, and 0 as theta. 3.87 A = 3.98 B = 6.8080 C = D = E = (Drag to rotate) F = (c) Find the mass of the shell
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