Q. 42 4.1( 8 Votes )

A well of diameter 3 m is dug 14 m deep. The earth taken out of it has been spread evenly all around it to a width of 4 m to form an embankment. Find the height of the embankment.

Answer :

Let the height of the embankment be ‘h’ m

Radius of well

=1.5 m

Height of the well =14m

Volume of earth dug out (volume of cylinder)

=99 m3

Outer Radius of the embankment(R) =1.5 m + 4 m

=5.5 m

Inner radius of the embankment(r) =1.5 m

Volume of embankment =Volume of earth dug out

Volume of embankment

= 27.5πh

Volume of embankment =Volume of earth dug out

27.5h = 99

h = 1.145

h = 9/8 = 1.125 m

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