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Question -

A cylindrical container with diameter of base 56 cm contains sufficient water to submerge a rectangular solid of iron with dimensions 32 cm x 22 cm x 14 cm. Find the rise in the level of the water when the solid is completely submerged.



Answer -

Diameter of cylindrical container = 56 cm
∴ Radius (r) = 56/2 = 28 cm
Dimensions of a rectangular solid are = 32 cm x 22 cm x 14 cm
∴ Volume of solid = lbh
= 32 x 22 x 14 = 9856 cm3
∴ Volume of water in thecontainer = 9856 cm3
Let h be the level of water, then
πr2h = 9856

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