Rain water which falls on a flat rectangular | vedclass

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Question

(A) Length of the rectangular surface $= 6\, m = 600\, cm$.Breadth of the rectangular surface $= 4\, m = 400\, cm$.Depth (rainfall) $= 1\, cm$.Volume

Vedclass · Accepted Answer

$191$

Vedclass · Answer

(A) Length of the rectangular surface $= 6\, m = 600\, cm$.Breadth of the rectangular surface $= 4\, m = 400\, cm$.Depth (rainfall) $= 1\, cm$.Volume of rain water collected $= 	ext{Length} 	imes 	ext{Breadth} 	imes 	ext{Depth} = 600 	imes 400 	imes 1 = 240,000\, cm^3$.Let the height of the water in the cylindrical vessel be $h\, cm$.The internal radius of the cylindrical vessel $r = 20\, cm$.Volume of water in the cylindrical vessel $= \pi r^2 h = 3.14 	imes (20)^2 	imes h = 3.14 	imes 400 	imes h = 1256h\, cm^3$.Equating the volumes: $1256h = 240,000$.$h = \frac{240,000}{1256} \approx 191.08\, cm$.Rounding to the nearest integer,the height is $191\, cm$.

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