Calculating the Surface Area of a Cylinder: Step-by-Step Guide and Formula Explained

Surface area of a Cylinder

To find the surface area of a cylinder, you need to calculate the sum of the areas of its curved surface and its two bases

To find the surface area of a cylinder, you need to calculate the sum of the areas of its curved surface and its two bases.

The curved surface area of a cylinder is given by the formula:
Curved surface area = 2πrh,
where r is the radius of the base and h is the height of the cylinder.

The area of each base of the cylinder is given by:
Base area = πr^2.

To find the total surface area, you need to add the curved surface area and the areas of the two bases.

Total surface area of a cylinder = Curved surface area + 2(Base area)
= 2πrh + 2(πr^2)
= 2πrh + 2πr^2
= 2πr(h + r).

Thus, the formula for the surface area of a cylinder is 2πr(h + r), where r is the radius of the base and h is the height of the cylinder.

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