Right Circular Cylinder

A right circular cylinder has its base perpendicular to its sides. If the line joining the centers of the Circles of a given cylinder is perpendicular to the bases, and then the cylinder is known as right circular cylinder. If a cylinder is having a radius and length, here length is denoted as height, then the volume of a Right Circular Cylinder is given by
 V = ⊼r²h, where r is the radius of a cylinder and h is the height of cylinder.

The lateral surface area of a right circular cylinder is,
 A = 2⊼rh (this area is defines for lateral area or without top or bottom),

And the total surface area of cylinder with top and bottom,
   A = 2⊼r²+ 2⊼rh,
We can write it as:
   A = 2⊼r (r + h),


 Properties of a right circular cylinder are:
The axis of a Right circular cylinder is the line joining the centers of cylinder which is having the bases.
 Example: - Calculate the volume and surface area of a right circular cylinder with r = 5" and h= 3"?
Solution: We know that the Volume of Right Circular Cylinder = ⊼r²h,
              And surface area of right circular cylinder = 2⊼r(r + h),
             We know that the value of ⊼ = 3.14,
Given, radius = 5,
          Height = 3,
 Putting the value in the formula,
On putting the value we get,
Volume of right circular cylinder = ⊼r²h,
    V = 3.14 * (5)² * 3,
     V = 3.14 * 25 * 3,
V = 3.14 * 75,
V = 235.5 inch³,
Surface area of right circular cylinder = 2⊼r (r + h),
SA = 2⊼r (r + h),
     = 2 * 3.14 * 5 (5 + 3),
     = 2 * 3.14 * 5 (8),
     = 2 * 3.14 * 40,
     = 251.2 inch².