In the side wall of the tank, which is under pressure 𝑝𝑛=4905𝑃𝑎, there is a hole. The hole is closed by a flat flap with a width of L using a float in the shape of a cone with a height of d connected to a half of a sphere with a radius of r. The flap can rotate relative to point O. The float has a mass m. The elevation of the vertex of the float above the axis of rotation of the flap is b. The vertex of the float is submerged at a depth of a. What volume V must the float have to ensure the closure of the hole as shown in the picture?
Data: 𝑎=0.25𝑚,𝑏=0.75𝑚,𝑑=0.5𝑚,𝑚=10𝑘𝑔,𝜌𝐻2𝑂=1000𝑘𝑔/𝑚3,𝐿=0.5𝑚,𝑝𝑛=4905𝑃𝑎
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