The cylinder's total surface area includes the area of the curving surface as well as the areas of the two circle-shaped bases of the cylinder.
The area of the two bases and the area of the curved surface are added to determine the cylinder's total surface area. Consequently, the following is the formula for the cylinder's total surface area:
Area of the two bases plus the area of the curved surface equals the cylinder's total surface area. Due to the cylinder's round bottoms, their combined area will be equal to r2 + r2. We already know that a cylinder's curved surface area is 2rh.
(r2 + r2 + 2rh) is the cylinder's total surface area.
⇒ 2πr2 + 2πrh
Total surface area of cylinder = 2πr(r+h)
where,
r = radius of the cylinder
h = height of cylinder
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