A well of diameter 2m is dug14m deep. The earth taken out of it is spread evenly all around it to form an embankment
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Hey MATE!
Solution:-
Diameter of well = 2 m
So, radius of well = 1 m
Height = 14 m
Dimensions of embankment =
h = 40 cm or 0.4 m
Radius = ?
Width of embankment = R - r
Volume of earth dug out = Volume of embankment
⇒ 22/7*1*1*14 = 22/7*(R² - 1)*0.4
⇒ 44 = 8.8(R² - 1)/7
⇒ = R² - 1 = (44*7)/8.8
⇒ R² - 1 = 35
⇒ R² = 35 + 1
⇒ R² = 36
⇒ R = 6 m
Now width of embankment = 6 - 1
= 5 m
Answer.
Hope it helps
Hakuna Matata :))
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