  We have studied the inhomogeneous cosmology in Kaluza-Klein spacetime with
positive cosmological constant. Depending on the integration constant we have
derived two types of solutions. The dimensional reduction is possible of extra
dimensional scale factor depending on the curvature of the metric for positive
cosmological constant for all solutions. The high value of entropy in present
observable universe and the possible matter leakage in $4D$ world due to
reduction of extra dimension are also discussed. Our solutions show that early
deceleration and late accelerating nature of the universe. Findings are
verified by the wellknown Raychaudhuri equation.
