Question

a rain water which falls on flat rectangular surface of lenth 6m , 4m is transferred into a cylendrical vessel of internal radius of 20cm . what will be the height of the water in the cylendrical vessel if rainfall is 1cm .

Answer 1

volume of water in rectangular flat=volume of cylindrical vessel
(6m)x (4m) x (1/100m)=pi. (r)^2.h
24/100m^3=(22/7)x (20/100m)^2.hm
24/100m^3= 88/700xh m^3
h=(21/11 )m

Answer 2

Answer:

Height of water =1.9m

Step-by-step explanation:

Area of rectangle =6×4=24m²

Volume of water fallen on rectangular surface = Area×height

=24m²×0.01m

=0.24m³

This volume is transferred in cylindrical vessel of  internal radius 0.2m.

Let height of water in vessel =h

So Volume of water =πr²h

=(22/7)(0.2)²h

this Volume of water = volume of water fallen on rectangular surface

=0.24m³

So

(22/7)(0.04)h=0.24

h=21/11

=1.9m