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Rain water, which falls on a flat rectangular surface of length 6 m and breadth 4 m 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 1 cm has fallen?

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One of the important question for the board exam class 10 from
mensuration chapter.This question is from r d sharma class 10 maths.
chapter-16 question number-35 maths r d sharma,mensuration.

In this question we have to find the height of water in the
cylindrical vessel if a rainfall of 1 cm has fallen
given that,
Rain water, which falls on a flat rectangular surface of length
6 m and breadth 4 m is transferred into a cylindrical vessel of
internal radius 20 cm .

 

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1 Answer

  1. Given,

    Length of the rectangular surface = 6 m = 600 cm

    Breadth of the rectangular surface = 4 m = 400 cm

    Height of the perceived rain = 1 cm

    So,

    Volume of the rectangular surface = length * breadth * height

    = 600*400*1 cm3

    = 240000 cm3 …………….. (i)

    Also given,

    Radius of the cylindrical vessel = 20 cm

    Let the height of the cylindrical vessel be taken as h cm

    We know that,

    Volume of the cylindrical vessel = π × r2 × h

    = π × 202 × h ……….. (ii)

    As all the rain water is transferred to the cylindrical vessel

    We can equate both (i) and (ii) for equal volumes,

    240000 = π × 202 × h

    h = 190.9 cm

    Therefore, the height of the cylindrical vessel nearly 191 cm.

     

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