A path 2m wide surrounds a circular pond of diameter 40m.The ____ cubic meters of gravel is required to grave the path to a depth of 20cm?

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According to the given information, we have a circular lake with a diameter of 40 m, which is surrounded by a path 2 m wide, and we have to excavate the path to a depth of 20 cm.So we need to find out the volume of the path to a depth of 20 cmSo, the radius of pond

(r)=
    
     40
    2
   
   =20m
   So, as in the diagram above, we can see that we have 2 cylinders, one with radius R and one with radius r = 20 mBecause we need to find the volume of the path to a depth of 20 cm, which will be equal to the volume of a cylinder of radius R - the volume of a cylinder of radius rSo we know that the thickness of the path = 2 mTrack thickness = R – rBy substituting the above values, we get

2m=R−20m

⇒R=20+2=22m

And depth

(h)=20m=
    
     20
    
     100
   
   m=0.2m
  Now we know that the volume of the cylinder is given because here r is the radius of the cylinder and h is the height of the cylinderVolume of the path = volume of a cylinder of radius R – volume of a cylinder of radius rBy substituting the values ​​in the above equation, we getVolume of path =

π
    R
    2
   
   h−π
    r
    2
   
   h
  Volume of path

=π

R
      2
     
     −
      r
      2

h

⇒
   Volume of path =

22
    7

(22)
      2
     
     −
      
       (20)
      2

×
    
     0.2

⇒
   Volume of path =

22
    7

484−400
   ×
    
     0.2

⇒
   Volume of path =

3.14×84×0.2

⇒
   Volume of path =

52.752
    m
    3

So, the Volume of gravel to require to grave the path is

52.752
    m
    3

.

A path 2m wide surrounds a circular pond of diameter 40m.The ____ cubic meters of gravel is required to grave the path to a depth of 20cm?

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