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

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Solution

Given a well with diameter 3 m and height 14 m. The earth dug out from well is used to make a circular embankment of 4m width.

We have to find the height of the embankment.

Let R be the radius of well

Let H be the height of well

Let r be the radius of embankment

Let h be the height of embankment

H

Width of the circular embankment

According to the question

Volume of the earth dug = Volume of the circular embankment

Therefore,

=

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