Thanks to Misha, in Y12 at KCLMS, for this problem!

A triangle ABC has sides of length a, b and c.

A solid composed from two cones is produced by rotating the triangle by 360^o about the side of length a. This process is then repeated for sides b and c to produce two more solids, both formed from pairs of cones.

Click on the link below to see a diagram of this.

Find the ratio of the volumes of the resulting solids.