The earth dug out of a well is spread evenly all around it to form an embankment which is 2 metre wide find the height of the embankment if the diameter of the well is 2 m and its depth is 20 m
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The earth dug out of a well is spread evenly all around it to form an embankment which is 2 metre wide find the height of the embankment if the diameter of the well is 2 m and its depth is 20 m
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Radius of the well (r) = 3/2 m = 1.5 m
Height of the well(h) = 14 m
Volume of the earth taken out of the well = πr2h = 22 7 ×(1.5)2×14 = 99 m3 .
Outer radius of the embankment R = 3/2 + 7 = 17 / 2 m
Area of embankment = outer area - inner area
⇒ πR2 - πr2 = (22/7)(17/2)2 - (22/7)(3/2)2
⇒ 22x17x17/28 - 22x9x9 / 28= 6358 / 28 - 198 / 28
= 6160 / 28 = 220 m2
∴ Height of the embankment = Volume / area = 99 / 220 = 9/20 = 0.45 m.
hope it helps mark brainliest plz