A hemispherical basin of radius 10cm is used to store water . To what percent of capacity is basin filled when water is till 5 cm height


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Total Volume = 2000pi/3
Required region volume = pih/6 * (3x^2 + h^2) where x = _/r^2 - (r-h)^2
pi*5/6 * (225+25) = 250*5pi/6
capacity percent = 250*5*3/6*2000 = 5/16 so 31.25%


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