A 20m deep well with 7m diameter is dug up and the earth from digging is spread evenly to form a platform 22m x 14m . determine the height of the platform
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Diameter of the well = 7 m
Radius of the well = 7/2 m
Depth of the well = 20 m
Volume of the mud dug from the well = πr2h
= 22/7 × 7/2 × 7/2 × 20
= 770 m3
Area of the rectangular plot where the mud is spread = 22 x 14
Let the height of the plotfarm be h metres.
Volume of the plot form = Volume of the mud taken from the well
22 x 14 x h = 770
h = 770 / 22x14
h = 2.5 m
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