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Question

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


Solution

Diameter of cylindrical container = 56 cm

Radius(r)=562 = 28 cm

Dimensions of a rectangular solid are

= 32 cm ×22cm× 14 cm

Volume of solid = lbh

= 32 ×22×14=9856cm3

Let h be the rise in level of water, then

πr2 h = 9856

227×28×28×h=9856

h=9856×722×28×28 = 4 cm

Height of water level = 4 cm

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