Math, asked by lovestudies438, 9 months ago

a well is dug 14m deep and it has a diameter of 10m the earth which is so dug out is spread evenly on an embankment around the well of width 5m
find the height of the embankment ( it may come in fraction) ​

Answers

Answered by Anonymous
5

Step-by-step explanation:

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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.

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Answered by Anonymous
32

Step-by-step explanation:

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.

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