Question

a 14m deep well with inner diameter 10m is dug and the earth taken out is evenly spread all around the well to form an embankment of width 5m.find the height of the embankment​

Answer 1

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Answer 2

The height of the embankment​ is 3.5 meter.

Step-by-step explanation:

Given : A 14 m deep well with inner diameter 10 m is dug and the earth taken out is evenly spread all around the well to form an embankment of width 5 m.

To find : The height of the embankment​ ?

Solution :

Diameter of well = 10 m

Radius of well = $r=\frac{D}{2}=\frac{10}{2}=5 m$

Depth of well h= 14 m

Volume of well is given by,

$V= \pi r^2 h$

$V=\frac{22}{7} \times 5^2 \times 14$

$V= 1100\ m^3$

Earth taken out of it is spread all a round to a width of 5 m to form an embankment.

Radius of embankment = 5 m + 5 m = 10 m

Let the height of embankment be h

Volume of well = Volume of embankment

$V=\pi r^2 h$

$1100=\frac{22}{7}\times 10^2\times h$

$h=\frac{1100\times 7}{22\times 100}$

$h=3.5$

Therefore, the height of the embankment​ is 3.5 meter.

#Learn more

A well with 10m inside in diameter is dug 14m deep . Earth taken out of it is spread all a round to a width of 5m to form an embankment. Find the height of embankment

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