1. A pyramid has a square base with side 6 cm and height 10 cm. The density of the pyramid is uniform in cross-sections parallel to the base, and density (in g/cm3) across such a cross section if twice the distance (in cm) from the top of the pyramid. Compute the mass of the pyramid.
2. A circular has radius 2 and radial mass density given by ρ(r) = 4/r, Compute the mass of the plate. Discuss what happens to the density of the plate as you approach its center along a radius Compare your answers in (a) and (b). State what is interesting or unexpected Explain why what you observe is possible.