Q. 104.3( 18 Votes )
A 20 m deep well
Answer :
The volume of earth removed by digging for cylindrical well is the same volume used to make platform which is cuboidal in shape
Therefore, volume of well dug = volume of platform formed
Parameters of well
Diameter = d = 7 m
⇒ radius = r = = m
The well is 20 m deep so we can say that its height is 20 m
Height = h = 20 m
Volume of cylinder = πr2h
⇒ volume of well dug = × × 20
= × × 20
= 22 × 7 × 5
= 770 m3
Parameters for platform
Length = l = 22 m
Breadth = b = 14 m
Let height be h
Volume of cuboid = l × b × h
⇒ Volume of platform = 22 × 14 × h
= 308h m3
As volume of well dug = volume of platform formed
⇒ 770 = 308h
⇒ h =
Divide numerator and denominator by 7 we get
⇒ h =
Divide numerator and denominator by 22 we get
⇒ h = = 2.5
Therefore, height of platform is 2.5 m
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