Question

A well of diameter 6m is dug 21 m deep. the earth taken out of it has been spread evenly all around it in the shape of a circular ring of width 9m to form an embankment. find the height of the embankment ​

Answer 1

Step-by-step explanation:

here is your answer and once try to solve it yourself

Answer 2

Height of the embankment = 9.33 cm.

Given:

A well of diameter 6m

Dug 21 m deep.

Spread evenly all around it in the shape of a circular ring of width 9m

To find:

Height of the embankment.​

Formula used:

Volume of cylinder = $\frac{\pi }{4}$ × (Diameter)² × Height

Explanation:

Volume of the well duged in the earth = $\frac{\pi }{4}$ × (Diameter)² × Height

                                                                = $\frac{\pi }{4}$ × (6)² × 21

                                                                =593.73 cm³

This can be filled in a circular ring of width = 9 cm.

That is diameter of circle = 9 cm.

Height of embankment is asked.

so that it can be formed in cylinder

Volume of embankment  = Volume of the well duged in the earth ....Given

Volume of embankment  = $\frac{\pi }{4}$ × (Diameter)² × Height

                            593.73  = $\frac{\pi }{4}$ × (9)² × Height

                            Height = 9.33 cm.

Height of the embankment = 9.33 cm.

To learn more...

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