Sadly, such a simple problem i cannot figure out! Naturally i thought i would ask.

In essence i wanted to know how much single walled carbon nanotubes need to placed into a pure aluminum structure to produce a bulk density of 1.5g/cm^3, where the density of aluminum is 2.7g/cm^3 and the single wall nanotubes are .15g/cm^3. The volume must be 31.4cm^3, and i had done a rough calculation for a theoretical nanotube which was 2nm in diameter and 10cm in length and found it to be 3.14 *10^-13 cm^3 per tube.

Thus, we get close to the needed density when we split the volumes in half (half aluminum, half carbon nanotube). Regardless of the possibility of such a structure i am left speechless in that i cannot figure out how to do this simple calculation to determine what volume % of each is needed to get 47grams, or a density of 1.5g/cm^3

Would anyone mind jumpstarting my brain really quick?