A cylinder of diameter 10cm and a height of 20cm is filled with water. If a sphere of diameter 10cm is completely submerged inside the cylinder, what will be the increase in the level of water, in the cylinder?
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6. 67 cm increase in the hight if cylinder
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Given :
Radius of cylinder = 5 cm
Height of cylinder = 20 cm
and, radius of the sphere = 5 cm
To find :
Increase in the level of water in the cylinder when the sphere is submerged in it fully .
Solution :
Let h be rise in water level .
by Archimedes Principal ,
Volume of sphere = Volume of water rise in cylinder
=> (4/3) * π * 5 * 5 * 5 = π * 5 * 5 * h
=> (4/3) * 5 = h
=> h = 20/3
=> h = 6.67
Increase in the level of water in the cylinder is 6.67 cm .
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