A sphere of diameter 12cm is dropped in a right circular cylinder vessel partly filled with water.If the sphere is completely submerged in water,the water level in the cylindrical vessel rises by 32/9cm.find the diameter of the cylindrical vessel.
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volume of sphere =volume of cylindrical part that rises the level of water
4/3pi. (12/2)^3=pi. (r)^2. (32/9)
4/3x6x6x6= (r)^2. (32/9)
8x36=(r)^2(32/9)
r=9
so diameter=18 cm
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