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A well with 10 m inside diameter is dug 8.4 m deep. Earth taken out of it is spread all around it to a width of 7.5 m to form an embankment. Find the height of the embankment.

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Given,

Inside diameter of well = 10 m

Inside radius = \(\frac{10}{2}\) = 5 m

depth of well = 8.4 m

Volume of earth dug out = πr2h = \(\frac{22}{7}\) x 25 x 8.4 m3

Area of embankment formed = π(R2 - r2) = \(\frac{22}{7}\)(17.52 - 102) = 206.25π m2

Height of embankment thus formed = \(\frac{volumr\,of\,well}{area\,of\,embankment}\)\(\frac{π\times 25\times 8.4}{206.25π}\) = 1.6 m

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