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Right Circular Cylinder

Description: 16-4.tif

In the above figure, r is the radius of the base and h is the height of a right circular cylinder. A cylinder is generated by rotating a rectangle or a square by fixing one of its sides.
  • Volume = area of base × height
     
    Volume = πr2h
  • Curved surface area (CSA) = Perimeter of base × height
     
    LSA = 2πrh
  • Total surface area (TSA) = LSA + Area of the top + Area of the base
     
    TSA = 2πrh + πr2 + πr2
     
    TSA = 2πr(r + h)

Some important deductions

Description: 16-5.tif
  • If the above rectangular sheet of paper (ABCD) is rolled along its length to form a cylinder, then the radius (r) of the cylinder will be (L/2π) and its height will be b and Volume of this cylinder = Description: 2197.png, where L is the length of the rectangle.
  • Description: 16-6.tif
     
    If the above rectangular sheet of paper (ABCD) is rolled along its breadth to form a cylinder, then the radius (r) of the cylinder will be Description: 2206.png and its height will be L.
     
    Volume of this cylinder = Description: 2215.png




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