# Trinity

Geometry Level 4

A unit radius sphere split into three uniform spherical wedges (regular trigonal hosohedron) all have an area to volume ratio of $$A$$. The same unit radius sphere partitioned into 3 solid sections by 2 parallel planes with both spherical caps (calotte) each having a height of 0.7458904 units all have an area to volume ratio of $$B$$. If $$A = B - 0.7458904^2$$, find $$A$$ to 2 decimal places.

×