a sphere of diameter 7cm is dropped in a right circular cylindrical vessel partly filled with water. the diameter of the cylindrical vessel 14 cm.if the sphere is completely submerged in water, by how much of the level of water
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Answer:
Given, diameter of speher = 6 cm
⇒ radius of sphere R=26=3cm
Diameter of cylindrical vessel = 12 cm
⇒ radius of cylindrical vessel = r=212=6cm
volume of sphere = 34πR3=34π2(3)2
Volume of cylindrical vessel = πr2h=π×62×h
Here, the volume of sphere = volume increased in the cylindrical vessel.
∴34π(3)3=π(6)2h
h=34×63=6×64×3×3=33=1cm
∴ 1 cm level of water rise in the cylindrical vessel.
just put 7 in place of 6
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