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

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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=[tex]\pi r^{2} hV=πr[/tex]

   V=[tex]\frac{22}{7} 10^{2} \times[/tex]

   V=[tex]22\times 100V=22×100[/tex]

   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

   [tex]\pi (R^2-r^2)[/tex]

   [tex]\frac{22}{7}\times (13^2-10^2)[/tex]

   [tex](169-100)h=\frac{2200\times 7}{22}[/tex]

   69h=70069h=700

   h=10.14mh=10.14m

   Therefore, The height of the embankment is 10.14 m.

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