Water is poured into a cylindrical vessel of height 10 m and radius 4 m from a cubical vessel of side 10 m. How much water is left in the cubical vessel?

0.50 l

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0.45 l

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0.40 l

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0.30 l

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Solution

The correct option is A $0.50 l$
Length of the cube is 10 m.
Radius of the cylinder is 4 m, and the height is 10 m.
Volume of the cube = $s i d e^{3}$
= $10^{3}$
= $1000 c m^{3} . . . (1)$
Volume of the cylinder = $π r^{2} h$
= $π \times 4^{2} \times 10$
= $3.14 \times 160$
= $502.4 c m^{3} . . . (2)$
Water left in the cubical vessel
= (1) - (2)
= $1000 - 502.4 c m^{3}$
= $497.6 c m^{3}$
$1 c m^{3} = 1 m l$
$497.6 c m^{3} = 497.6 m l$
$= 0.497 l$
$= 0.50 l$

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