# A sphere of diame

Diameter of sphere = 6 cm

Radius of sphere = rs = = 3 cm

The diameter of cylindrical vessel = 12 cm

Radius of cylindrical vessel = rc = = 6 cm

The volume of sphere submerged in water is equal to the volume of water rise

Let h be the rise of water level

it is given that the sphere is submerged completely

thus, volume of sphere = volume of water rise

volume of sphere = πrs3

volume of cylinder = πrc2h πrs3 = πrc2h

4rs3 = 3rc2h

4 × 33 = 3 × 62 × h

4 × 9 × 3 = 3 × 36 × h

4 × 3 = 3 × 4 × h

3 = 3 × h

h = 1 cm

Therefore, rise in water level in the cylindrical vessel is 1 cm

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