Question -
Answer -
Given,
Length of therectangular surface = 6 m = 600 cm
Breadth of therectangular surface = 4 m = 400 cm
Height of theperceived rain = 1 cm
So,
Volume of therectangular surface = length * breadth * height
= 600*400*1 cm3
= 240000 cm3 ……………..(i)
Also given,
Radius of thecylindrical vessel = 20 cm
Let the height of thecylindrical vessel be taken as h cm
We know that,
Volume of thecylindrical vessel = π × r2 × h
= π × 202 ×h ……….. (ii)
As all the rain wateris transferred to the cylindrical vessel
We can equate both (i)and (ii) for equal volumes,
240000 = π × 202 ×h
h = 190.9 cm
Therefore, the heightof the cylindrical vessel nearly 191 cm.