you arent suppose to calculate the sphere's volume
you have to imagine the box fits 3 layers, and you have to calculate the box's volume, because the lattice volume is the sphere's volume plus the empty space volume.
Technically, this question is from a chemistry course, but I have a question about finding the volume of spheres.
We had to do an experiment with Marshshmallows, plums or anything spherical.
And this is how we learned about three types of packing
-hexagonal closest packing
-face-centred or cubic closest packing
-body-centred packing
One of the things we have to figure out is the density in units/cm^3.
It askes : If a box fit tightly around the three layers, what would its volume be? Assuming a mass of 1 unit per sphere, calculate the density in units/cm^3.
I'm sort of lost when it comes to figuring out the volume and any help you could give me would be greatly appreciated!