Hydraulic lift

[Hiara]

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The small piston in a hydraulic lift with a piston radius ratio of 10:1 is compressed by 50cm, how far does the largest piston move?

 

[Teleologist]

Pressure is constant everywhere by Pascal's principle. So calculate pressure.

 

[DrknoSDN]

0.5cm which is 1/100 the distance of the small piston.
It's just Volume of fluid displaced at each piston. Area =(pi r squared) so if R is 10 times smaller then it only has 1/100 the area and 1/100 the displaced volume.