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

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2.16 cm

2.15 cm

2.14 cm

2.13 cm

answer is A.

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Detailed Solution

Given,
A metal cube of side = 11 cm
The diameter = 28 cm
The radius of cylinder r= 28/2 = 14 cm
C:UserssoftberryDownloadsP0041 JPEGQ.88.jpg

So, volume of cube =

{side}^{3}

V = 11^{3}

V

= 1331
The volume of a rise in water cylindrical column = volume of metal cube

\frac{22}{7} \times r^{2} \times n = 1331

(n=rise in level)

\frac{22}{7} \times 14^{2} \times n = 1331

n = \frac{1331}{22 \times 28}

n = 2.16 cm

So, the rise of the water level = 2.16 cm
Correct option is 1.

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