Question

4. The rais water froma roof of 22mx20m
drains into a cylinderical vessel having a diameter
of base 2m and
height 3.5m if the
vessel just full find the rainfall in cm​

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