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

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

1. A
190 cm
2. B
191 cm
3. C
180 cm
4. D
193 cm

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### Solution:

Here, we used the formula:
Volume of cuboid:
Volume of cylinder: Let, Length = 600cm and Breadth = 400cm,
Quantity of water accumulate on rectangular roof is given as:
Since, there has been a rainfall of 1cm1cm,
Then, .
Now, all this water accumulates on the roof is transferred to a cylindrical vessel.
.
Substituting values, we get:
The height of water level in a cylindrical vessel is: 191 cm.

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