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A metal cube of side 11 cm is completely submerged in water contained in a cylindrical vessel with diameter 28 cm. Find the rise in the level of water. - Mathematics

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प्रश्न

A metal cube of side 11 cm is completely submerged in water contained in a cylindrical vessel with diameter 28 cm. Find the rise in the level of water.

योग

उत्तर

Given, side of a cube = 11 cm

∴ Volume of cube= (Side)3

= 11 × 11 × 11 cm3

= 1331 cm3

Given, diameter of cylinder = 28 cm

∴ Radius (r) of cylinder = `28/2` = 14 cm

Volume = 1331 cm3

∴ Rise in water level = `"Volume"/(pir^2)`

= `(1331 xx 7)/(22 xx 14 xx 14) cm`

= `121/56 cm`

= 2.16 cm

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अध्याय 20: Cylinder, Cone and Sphere - Exercise 20 (A) [पृष्ठ २९८]

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सेलिना Mathematics [English] Class 10 ICSE
अध्याय 20 Cylinder, Cone and Sphere
Exercise 20 (A) | Q 17 | पृष्ठ २९८

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