A hemispherical bowl of internal radius 9cm is full with liquid . This liquid is to be filled into cylindrical shaped bottles of diameter 3cm and height 4cm . How many bottles are necessary to empty the bowl??
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Solution
Solution-: Volume of the hemispherical bowl = {(4/3)πr^2}÷2 = {(4×9×9)/(3×2)} π = 54π cubic cm
Volume of cylinder = πr^2h/3 = ((3/2)^2×4/3)π = 3π cm^3
Number of cylindrical bottles needed to empty the bowl = 54π/3π = 18 Bottles