Question

A well with 40 m internal diameter is dug 14 m deep. The soil taken out is spread all around to a width of
20 m to form a circular embankment, find the height of the embankment.
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Answer 1

Answer:

Well with 10m diameter is dug 14m deep.

⇒ Cylindrical radius =210=5m

      Volume =πr2h

                    =722×5×5×14

                    =1100 cubic meter

Is taken out and spread width of 5m.

( diagram )

⇒R1=5+5=10m

      r=5m

⇒V=π(R2−r2)h

      1100=722(102−52)h

      350=(100−25)h

      h=75350=314

⇒h=4.66m

Hence, the answer is 4.66m.

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