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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