Question

A well with 20 m diameter is dug 28m deep. Earth taken out it is spread all around to a width of 10 m to form an embankment. Find the height of embankment.


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Answer 1

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=$\pi r^{2} hV=πr$

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

V=$22\times 100V=22×100$

V=2200m^3V=2200m

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

$\pi (R^2-r^2)$

$\frac{22}{7}\times (13^2-10^2)$

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

69h=70069h=700

h=10.14mh=10.14m

Therefore, The height of the embankment is 10.14 m.

Answer 2

Answer:

10.14 is the answer

Step-by-step explanation:

h=10.14

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