A well of diameter 3m is dug up to 14m deep The earth taken out of it has been spread evenly all aro...........

Quantitative Aptitude ( CCS) Mensuration 3D

A well of diameter 3m is dug up to 14m deep. The earth taken out of it has been spread evenly all around it to a width of 3m to form an embankment. Find the height of the embankment.

5/3 m

9/8 m

7/3 m

3/5 m

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Explanation:

Given
Diameter of the well = 3 m
Radius of the well = 3/2 m = 1.5m
Depth of the well = 14 m
Width of the embankment = 4 m
Radius of the outer surface of the embankment = 4+ 3/2 m = 5.5 m
Let the height of the embankment be = h m
Volume of the embankment = ∏×(R²−r²)×h
= ∏×(5.5²−1.5²)×h …………. (i)
Volume of earth dug out = ∏×(r2)×h
= ∏×(2²)×14 …….. (ii)
Comparing both the equations we get,
H = 9/8 m
Height of the embankment is 9/8m