well with 10 m inside diameter is dug 14 m deep. Earth taken out of it is spread all around to a width of 5 m to form an embankment. Find the height of the embankment
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Step-by-step explanation:
Well with 10m diameter is dug 14m deep.
⇒Cylindrical radius = 10/2 = 5m
Volume = πr²h
= 22 / 7 × 5 × 5 × 14
= 1100 cubic meter
Is taken out and spread width of 5m. (diagram)
⇒ R1 = 5+5 = 10m
r = 5m
V = π (R²– r²) h
1100 = 22/7(10²-5²)h
350 = (100-25)h
h = 350/75 = 14/3
⇒h = 4.66m
Hence, the answer is 4.66m.
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