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A sphere of diameter 6cm is dropped in a...

A sphere of diameter 6cm is dropped in a right circular cylindrical vessel partly filled with water. The diameter of the cylindrical vessel is 12cm. If the sphere is completely submerged in water, by how much will the level of water rise in the cylindrical vessel?

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r=3cm
`R=12/2=6cm`
Volume of water rise=Volume of sphere
`1/3piR^2h=4pir^3`
`6^2*h=4*3^3`
`h=(4*3*3*3)/(6*6)=3cm`.
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