Rain water which falls on a flat rectangular surface of length 6m and breadth 4m is transferred into...........

Quantitative Aptitude ( CCS) Mensuration 3D

Rain water which falls on a flat rectangular surface of length 6m and breadth 4m is transferred into a cylindrical vessel of internal radius 20 cm .What will be the height of water in the cylindrical vessel if a rainfall of 1cm has fallen?

125.6 cm

190.9 cm

140.68 cm

125.8 cm

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Explanation:

Length of the rectangular surface = 6 m = 600 cm
Breadth of the rectangular surface =4m = 400cm
Height of the perceived rain = 1 cm
Volume of the rectangular surface = length * breadth * height
=600*400*1 cm³
=240000 cm³ …………………………… (i)
Given,
Radius of the cylindrical vessel =20 cm
Let the height of the cylindrical vessel = h cm
Volume of the cylindrical vessel = ∏×r²×h
= ∏×20²×h………………………….(ii)
Since rains are transferred to cylindrical vessel
So, equating both the above marked equations:
240000 = ∏×20²×h
H =190.9 cm
The height of the cylindrical vessel is 190.9 cm.