The figure below shows a metal solid consisting of a cone mounted on a hemisphere. The height of the cone is twice its radius.
a) Given that the volume of the solid is 36π cm³, find (in cm²) the surface area of the solid.
4 points
b) The solid above is totally submerged in a cylindrical container which contains some water. If the radius of the container is 9 cm, Find (in mm) to 2 significant figures by how much the water level rises.
2 points
c) Given that the mass of the solid above is 144g, Calculate the density of the solid in kg/m³.
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