Math, asked by aslesha1411, 1 year ago

a well with 20m inside diameter is dug 7m deep. earth taken out of it is spread all around to a width of 3m to form an embankment. find the height of the embankment.

Answers

Answered by jejwje
45
I hope this answer will help you
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aslesha1411: thanks a lot!!!!!!!!!!
Answered by tardymanchester
17

Answer:

The height of the embankment is 10.14 m.

Step-by-step explanation:

Given : A well with 20m inside diameter is dug 7m deep. Earth taken out of it is spread all around to a width of 3m to form an embankment.

To find : The height of the embankment?

Solution :

A well with 20m inside diameter is dug 7m deep

Radius of the well = 10 m

Volume of the well is

V=\pi r^{2} h

V=\frac{22}{7} 10^{2} \times 7

V=22\times 100

V=2200m^3

Now, it is spread to form embankment, which is in the form of hollow cylinder,

Inner radius, r= 10 m

Outer radius = 10 +3 = 13 m

height= h

Volume of the earth spread=volume of the well

\pi (R^2-r^2)h=2200

\frac{22}{7}\times (13^2-10^2)h=2200

(169-100)h=\frac{2200\times 7}{22}

69h=700

h=10.14m

Therefore, The height of the embankment is 10.14 m.

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