Math, asked by deeya1234, 6 months ago

Well of diameter two meter is Dug 14 m deep. The earth taken out of it has spread evenly all around it to form an embankment of height 40 cm. Find the width of the embankment.

Answers

Answered by beth57
6

Answer:

width of embankment =5m

Step-by-step explanation:

Diameter of well = 2 m

So, radius of well = 1 m

Height = 14 m

Dimensions of embankment =

h = 40 cm or 0.4 m

Radius = ?

Width of embankment = R - r

Volume of earth dug out = Volume of embankment

⇒ 22/7*1*1*14 = 22/7*(R² - 1)*0.4

⇒ 44 = 8.8(R² - 1)/7

⇒ = R² - 1 = (44*7)/8.8

⇒ R² - 1 = 35

⇒ R² = 35 + 1

⇒ R² = 36

⇒ R = 6 m

Now width of embankment = 6 - 1

= 5 m

HOPE IT HELPS!!!

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