Cylinder-Geometry Formulas


A cylinder is a three-dimensional shape with two round shapes at either end and two parallel lines connecting the round ends. Bases are always parallel and congruent to each other.

Volume of Cylinder:

Volume of Cylinder is defined as the total space occupied by the cylinder. The volume is denoted as “V”. It is measured in terms of cubic units.

Volume V= πr2h


find the volume of a cylinder that has the radius 3 cm and height 5 cm.


V = π ( 3²) 5

= π ( 9 ) 5

= (3. 14) (45)

= 141.30 cm³

Curved Surface Area of Cylinder:

Curved Surface Area is the area of all the curved regions

Curved surface Area= 2πrh


Consider a curved surface area of a cylinder having height of 5 cm and diameter of base to be 2 cm.


C.S.A. = 2πrh = 2π × 1 × 5 = 10π

Total surface Area of Cylinder:

Total Surface Area is the area of all the surfaces including the base of a 3D object

Total surface Area= 2πr( r + h )


Find the total surface area of the cylinder, whose radius is 5cm and height is 10cm?


T.S.A = 2π × 5(5 + 10)

= 2π × 5(15)

= 2π × 75

= 150 × 3.14

= 471 cm2

Properties of Cylinder:

  • A cylinder has only one curved side.
  • A cylinder has two identical flat ends that are circular or elliptical.
  • The bases are always congruent and parallel.
  • It is similar to the prism since it has the same cross-section everywhere.

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