A spherical tank of 400-mm inner radius is full of water (ρ = 1000 kg/m3). The pressure of...

A spherical tank of 400-mm inner radius is full of water (ρ = 1000 kg/m3). The pressure of the water at the top of the tank is 4 × 105 Pa.

(a) What is the pressure of the water at the bottom of the tank?

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(b) What is the total force exerted on the inner surface of the tank by the pressure of the water?

Strategy: For (b), draw a free-body diagram of the sphere of water in the tank.