A toy skyrocket consists of a solid conical top of density t, a hollow cylinder of density c, and a stick having a circular cross

A toy skyrocket consists of a solid conical top of density ρt, a hollow cylinder of density ρc, and a stick having a circular cross section of density ρs. Determine the length of the stick, x, so that the center of gravity G of the skyrocket is located along line aa.

Given:

a = 3 mm         ρt = 600kg/m³

b = 10 mm

c = 5 mm         ρc = 400kg/m³

d = 100 mm     ρs = 300kg/m³

e = 20 mm

a