Let q1 and q2 be the rate of flow of heat through inner part from outer part respecting net flow of heat

q=q1+q2
=lK1πR2.ΔT+lK2.π[(2R)2−R2].ΔT
=lπR2ΔT(K1+3K2)
If the cylinder is replaced by a single material of thermal conductivity K then
q=lK.(2R)2.ΔT
On comparison,
K=4K1+3K2.