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 sphere is completely submerged in water by how much will the level of water rise?
Here, the volume increased in the cylindrical vessel will be equal to the volume of sphere.
Given, the diameter of sphere = 6 cm
⇒ radius of sphere = R = 6/2 = 3 cm
Similarly, diameter of cylindrical vessel = 12 cm
⇒ radius of cylindrical vessel = r = 12/2 = 6 cm
Now, volume of sphere
and volume of cylindrical vessel
Hence, the water level will rise by 1 cm.
The volume increased in the cylindrical vessel will be equal to the volume of the sphere.
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