A well of diameter 2 m is dug 14 m deep The earth taken out of it is evenly spread all around it to ...........

Quantitative Aptitude ( CCS) Mensuration 3D

A well of diameter 2 m is dug 14 m deep. The earth taken out of it is evenly spread all around it to form an embankment of height 40 cm. find the width of the embankment?

4 m

5 m

6 m

7 m

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Explanation:

Radius of the circular cylinder (r) = 2/2 m = 1 m
Height of the well (h) = 14 m
Volume of the solid circular cylinder = ∏×r²×h …………………………………(i)
= ∏×1²×14
Given,
The height of the embankment (h) = 40 cm
=0.4m
Let the width of the embankment be (x) m.
Volume of the embankment = ∏×r²×h
= ∏×((1+x)²−(1)²×0.4……………(ii)
Since the well is spread evenly to form embankment so their volumes will be same
So equating equations i and ii, we get
∏×r²×h = ∏×((2.5+x)²−(2.5)²×0.20
X= 5 m
The width of the embankment is 5 m.