A 20 m deep well with diameter 7 m is dug and the earth from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform


As per the question,

The shape of the well will be cylindrical


Depth (h) of well = 20 m


Radius (r) of circular end of well =


Area of platform = Length × Breadth = 22 × 14 m2


Let height of the platform = H


Volume of soil dug from the well would be equal to the volume of soil that is scattered on the platform.


Volume of soil from well = Volume of soil used to make such platform


πr2h = Area * Height


π * ()2 * 20 = 22 * 14 * H


H = * *


= 2.5 m


Hence, the height of the platform = 2.5m


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