Total Surface Area Of Right Circular Cylinder

Cylinder Base

Cylinder Axis

Lateral Surface Area of Cylinder

Total Surface Area of Cylinder

Volume of Cylinder

Before you study how to calculate Total Surface Area of Cylinder, you are advised to read: How to find Lateral or Curved Surface of Cylinder ? How to find Area of Circle ? Formula for Total Surface Area of Cylinder: Total Surface Area of Cylinder = 2 Π r (r + h) Note: Total Surface Area of Cylinder is always in square units e.g. cm2, m2, mm2 etc How formula for total surface area of cylinder is obtained Observe the following diagram of cylinder: Total Surface Area of Cylinder of above diagram of cylinder comprises of: Lateral Surface Area (highlighted in green) Two Circles (highlighted in blue) Or we can write it as: Total Surface Area of Cylinder = Area of two Circles + Lateral Surface Area of Cylinder ... (Statement 1) Area of Circle = Π r2 Lateral Surface Area of Cylinder = 2 Π rh Put the values of both these formulas into statement 1 and we get: Total Surface Area of Cylinder = 2(Π r2) + 2 Π rh Taking 2 Π & r as common and we get: = 2 Π r (r + h) Let's study some examples to find total surface area of cylinder Example : Find total surface area of a cylindrical pipe, whose length is 13 cm and radius of 7 cm. (apply value of Π = 22/7) Solution: As per the given question: Length or height of cylinder = 13 cm Radius of Cylinder = 7 cm Apply formula and we get: Total Surface Area of Cylindrical Pipe = 2 Π r (r + h) Put value of pie, radius and height and we get: = 2 X 22/7 X 7 (7 + 13) = 2 X 22/7 X 7 X 20 = 2 X 22 X 20 = 880 Hence, total surface area of cylindrical pipe = 880 cm2