A cylindrical composite sample of kevlar reinforced epoxy has a diameter of 8 in and a length of 12 in. The mass of this composite is 2.1 lb. The kevlar fibers have a density of 1.4 gr/cm³. The epoxy matrix has modulus of elasticity of 0.61x106 lbf/in² and a density of 0.042 lb/in³. What is the volume fraction of (a) the carbon fibers and (b) the epoxy matrix in the sample? Assume there are no voids in the sample. [15 pts]