Question

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

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Answer 1

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Answer 2

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$\small \red{{Diameter \: of sphere = 6 cm}} \\ \small \green{{Radius ( r ) = 3 cm }} \\ \small \pink {{Volume \: of \: the \: sphere \: = \: volume \: of \: water \: rises \: h \: cm\: }} \\ \small \orange{{Let \: the \: water \: level \: in \: the \: cylindrical \: vessel \: rises \: h \: cm}} \\ \small \blue{{ \mapsto \: 36 \: \pi \: = 36 \: \pi \: rh = h = 1 \: cm \: }} \\ \small \red{{ \therefore \: level \: of \: water \: rise \: is \:1 \: cm \: . }}$

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