The perks of being a sea snail

Sea snails live in the bottom of the ocean, attached to the ground with their 'sticky leg'. Their shape can be approximated to be a hemisphere.

If a snail of radius 3 cm3~\mbox{cm} is attached to the ground in a 3 m3~\mbox{m} deep sea, what is the magnitude of the vertical force in N with which the water presses on it?

Details and assumptions

  • The density of water is 1000 kg/m31000~\mbox{kg/m}^3.
  • There's a clever (and easier) way to do this, and there's a hard way.
  • The acceleration of gravity is 9.8 m/s2-9.8~m/s^2.

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