ESTIMATION CYLINDER :

Exercise ;

There is a cylinder whose base diameter is 15 m.

The height of this cylinder is also 15 m.

We need to find out the following :

1.TOP AREA                                  2.  BOTTOM AREA

3.PERIMETER AT THE TOP         4. SIDE SURFACE AREA

  1. VOLUME OF THE CYLINDER
  • STEP 01 : LET US  WRITE THE  FORMULAE NEEDED :
  • TOP AREA =  ╥ R2
  • BOTTOM AREA =  ╥ R2
  • TOP PERIMETER = 2 ╥ R
  • SIDE SURFACE AREA =(2 ╥ R ) H
  • VOLUME = (╥ R2 ) H

WE ALREADY KNOW THE DATA :

  • DIAMETER ,D = 15 M ,
  • RADIUS , R = 7.5 M
  • HEIGHT , H = 15.0 M
  • STEP 02 :  PUT THE VALUES :R = 7.5 M , H = 15.0 M
  • TOP AREA = ╥ R2 = 22/7 X 7.5 X 7.5  =176.785 SQM.
  • BOTTOM AREA :SAME AS TOP AREA
  • TOP PERIMETER = 2 ╥ R
  • = 2 X22/7 X7.5 = 47.142 M
  • SIDE SURFACE AREA = (2 ╥ R ) H
  • = 2 X 22/7 X7.5 X 15 = 707.142 SQM
  • VOLUME = (╥ R2 ) H
  • = 22/7 X 7.5 X 7.5 X 15 = 2651.785 CUM

SUMMARY :

1.TOP AREA      :  176.785 SQM.                            

2.  BOTTOM AREA :176.785 SQM.

3.PERIMETER AT THE TOP  : 47.142 M

4. SIDE SURFACE AREA : 707.142 SQM

5. VOLUME OF THE CYLINDER: 2651.785 CUM

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