Question

Rain water is running from a roof of dimensions 22 m x 10 m to a cylindrical vessel of radius of base
1 m and height 3.5 cm. If the vessel is filled completely, then find how many cm of rain was there? please explain step by step with images ​

Answer 1

Answer:

We have

Radius of cylindrical vessel=r=1m

Height of cylindrical vessel h=3.5m

Volume of cylindrical vessel=πr

2

h=

7

22

×1

2

×3.5m

3

=11m

3

Let the rainfall be x cm.

Then volume of the water = Volume of a cuboid of base 22m×20m and height x metres=(22×20×x)m

3

Since the vessel is just full of water that drains out of the roof into the vessel

Volume of the water = Volume of the cylindrical vessel

22×20×x=11

⇒x=

22×20

11

=0.025 m=2.5 cm

∴ Rainfall=2.5cm