Question

A circular well of diameter 5.6m is dug 6m deep and the earth so dug is spread out on the remaining part of the rectangular plot of length 18m and breadth 12m. find the height.

Answer 1

Given

Dia of well=5.6m

Depth=6m

Radius =5.6/2m

So volume of earth dugout =
$\pi \: {r}^{2} h$
=
$\frac{22}{7} \times ( \frac{5.6}{2} ) ^{2} \times 6$

=147.84m³


Now the volume of earth dugout = volume of plot

Volume of plot =lxbxh

=18x12xh

=216m² xh


147.84=216xh

H=147.84/216


H=0.684444m

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