Surface area of a cylinder formula

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Surface area of a geometric shape is the sum of the areas of all the surfaces of the given shape. Surface area of a cylinder is the sum of the area of the base and the area of the curved surface which surrounds the cylinder. A cylinder consists of 2 circular bases, each located on the opposite side of the cylinder. The curved surface of a cylinder is the surface which connects both the bases and forms the height of the cylinder. Total Surface area of cylinder formula, SA = (2* π* r2) + (2* π* r* h).

Example 1: Calculate the total surface area of a cylinder whose radius of the circular base is 5m and the height of the cylinder is 6m?

Given: radius, r = 5m
Height of the cylinder, h = 6m
Total Surface area of cylinder, SA = (2* π* r2) + (2* π* r* h)
This gives: Total surface area of the cylinder, SA= (2* π* 52) + (2* π* 5* 6) = 50π+ 60π = 345.6m2
Therefore, the total surface area of the given cylinder is 345.6m2


Example 2: Calculate the total surface area of a cylinder whose radius of the circular base is 4m and the height of the cylinder is 5m?

Given: radius, r = 4m
Height of the cylinder, h = 5m
Total Surface area of cylinder, SA = (2* π* r2) + (2* π* r* h)
This gives: Total surface area of the cylinder, SA= (2* π* 42) + (2* π* 4* 5) = 32π+ 40π = 226.2m2
Therefore, the total surface area of the given cylinder is 226.2m2

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