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?

Open in App

Solution

The fallen rains are in the form of a cuboid of height 1 cm, length 6 m = 600 cm and breadth 4 m = 400 cm. Therefore, the volume of the fallen rains is

The fallen rains are transferred into a cylindrical vessel of internal radius r₁ = 20 cm. Let, the height of the water in the cylindrical vessel is h₁ cm. Then, the volume of the water in the cylinder is

Since, the volume of the water in the cylinder is same as the volume of the rainfalls, we have

Therefore, the height of the water in the cylinder is 190.9 cm.

Suggest Corrections

Similar questions

Q. 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 c m

. What will be the height of water in the cylindrical vessel if a rainfall of

1 c m

has fallen? (Use

π = \frac{22}{7}

)

Q. Rain water which falls in a rectangular surface of

6 m \times 4 m

in being transferred into a cylindrical vessel of internal radius 20 cm. What will be the height of water in the cylindrical vessel of a rainfall of 1 cm has fallen?

Q. 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 the rainfall is 1 cm. Give your answer to the nearest whole number.
(Use π = 3.14)

Rain water from a rectangular 22 m $\times$ 20 m roof drains into a cylindrical vessel of diameter 2m and height 3.5 m. If the rain water collected from the roof fills $\frac{4}{5}$ th of the cylindrical vessel then find the rainfall in cm

Q. A conical vessel whose internal radius is 10 cm and height 48 cm is full of water. Find the volume of water. If this water is poured into a cylindrical vessel with internal radius 20 cm, find the height to which the water level rises in it.

Join BYJU'S Learning Program