Question

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

Answer 1

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

Answer 2

The shape of well will be cylindrical.

Depth (h) of well = 20m

Radius (r) of circular end of well =

Area of platform = length x breadth = 22 x 14 m2

Volume of earth dug from well will be equal to the volume of earth scattered on platform.

Volume of earth from well = volume of earth used to make such platform

Height of platform = 2.5 m

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