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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

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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 â€¦â€¦â€¦â€¦â€¦.. (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 = Ï€ Ã— r2 Ã— h

= Ï€ Ã— 202 Ã— h â€¦â€¦â€¦.. (ii)

As all the rain water is transferred to the cylindrical vessel

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

240000 = Ï€ Ã— 202 Ã— h

h = 190.9 cm

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

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