Q17 of 79 Page 244

A cylindrical shaped well of depth 20 m and diameter 14 m is dug. The dug out soil is evenly spread to form a cuboid-platform with base dimension 20 m x 14 m. Find the height of the platform.

Given, Depth of well = Height of well = 20 m


Diameter of well = 14 m


Radius of well =


= 7 m


Volume of well = r2h


= 7720


= 3080 m3


⇒ Volume of platform = Volume of well


⇒ lbh = 3080


⇒ 2014h = 3080


⇒ H =


⇒ H = 11 m


The height of the platform is 11 m.


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