vIf the earth were greatly reduced in size while maintaining its shape, it would be smoother than a billiard ball. (Earth radius = 6371 km; Everest = 8.850 km)
vNonetheless, mountains have a large effect on weather.  Why is this, if they are so insignificant in size?
vAnswer: the atmosphere, like the mountains, is also shallow (scale height 8.5 km) so mountains are a significant fraction of atmosphere’s depth. 
vBut, this answer underestimates mountain effect for two reasons:
vStability gives the atmosphere a resistance to vertical displacements
vThe lower atmosphere is rich in water vapor so that slight adiabatic ascent brings the air to saturation.
vExample: flow around a 500-m mountain (<< 8.5 km) could include 1) broad horizontal excursions, 2) downslope windstorm on lee side, and 3) torrential orographic rain on windward side.
(Smith, 1979)