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A well of diameter 14 m, is drug 15 m deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 7 m to take an embankment. Find the height of the embankment.

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15 m

6 m

8 m

5 m

answer is D.

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Detailed Solution

Given:
r=7 m
h=15 m
Volume of mud

= π r^{2} h

\frac{22}{7}

×7×7×15
=2310

m^{3}

Area of ring

= π [14^{2} - 7^{2}]

=π (14+7) (14−7)
=

147 π

=463

m^{2}

∴ Height = \frac{volume of mud}{Area of ring}

= \frac{2310}{463}

= 5 m

Correct option is 4.

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