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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