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Question

The maximum gauge pressure in a hydraulic lift is 19.4 atm. What is the largest size vehicle (kg) it can lift if the diameter of the output line is 28.0 cm?

Answer 1

I assume that by "output line" you really mean the "output cylinder"

Force = Pressure x Area

You have the diameter so you can compute the area.

You have the gauge pressure - which is the pressure over and above atmospheric pressure so you don't have to subtract anything from that.

So all that remains is to convert atmospheres of pressure to a nicer unit for comparison:

http://en.wikipedia.org/wiki/Atmospheric...

On the car side, you need to convert from weight to mass:

http://en.wikipedia.org/wiki/Weight