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Total Surface Area of Cylinder = 2 x pi x radius x (radius + height)

Surface area of base circle = pi x radius x radius


Surface area of curved part = 2 x pi x radius x height


Hence, total surface area = (2 x area of base circle) + (area of curved part)
= (2 x pi x radius x radius) + (2 x pi x radius x height)
= 2 x pi x radius x (radius + height)

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Q: How does the dimensions of a cylinder help you to find its surface area?
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