Math, asked by insiyahr, 1 year ago

a well of radius 7 m is dug to a depth of 12 m earth taken out of it has been evenly spread all around to form a circular embankment of width 7 m find the height of the embankment?
Please answer in proper steps

Answers

Answered by siddhartharao77
12

Answer:

4 m

Step-by-step explanation:

Given,Radius of the well (r) = 7 m.

Height of the well = 12 m.

∴ Volume of the earth taken out of the well = πr²h

= (22/7) * (7)² * 12

= 1848 m³

Given that It has been evenly spread of width 7 m.

Outer radius of the embankment = 14 m.

Now,

Area of embankment = πR² - πr²

= π(R² - r²)

= (22/7)[14² - 7²]

= (22/7)[147]

= 462 m²

∴ Height of the embankment = 1848/462

                                                = 4 m.

Therefore, Height of embankment = 4 m.

Hope it helps!

Answered by Siddharta7
2

GIVEN width of embankment = 7mts

its inner radius (r) = 7 ms and outer radius (R) = 7+7=14mts

volume of earth dug out = vol of soil in embankment

πr²h = vol of soil in embankment

22/7×7²×12000 = π h ( R²- r² )

1848000 = 22/7 × h × ( 14²-7² )

1848000 × 7/22 = h x 147

h = 84000 x 7 / 147

h = 588000 / 147

h = 4000 mts

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