(Solution) - A wooden barrel full of water has a flat circular -(2025 Original AI-Free Solution)

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A wooden barrel full of water has a flat circular top of radius 25.0 cm with a small hole in it. A tube of height 8.00 m and inner radius 0.250 cm is suspended above the barrel with its lower end inserted snugly in the hole. Water is poured into the upper end of the tube until it is full?

(a) What is the weight of the water in the tube?
(b) What is the force with which the water in the barrel pushes up on the top of the barrel?
(c) How can adding such a small weight of water lead to such a large force on the top of the barrel? (As a demonstration of the principle now named for him, Pascal astonished spectators by showing that the addition of a small amount of water to the tube could make the barrel burst.)