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26 December, 08:52

The fomula for the surface area, S, of a cylinder, is S = 2nr2 2nrh, where his the height of the cylinder, and r is the radius of the base of the cylinder.

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  1. 26 December, 08:58
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    S = 2πr² + 2πrh = 2πr (r + h)

    Step-by-step explanation:

    The formula for the surface area of a cylinder is the sum of the area of the base and the lateral faces.

    Mathematically,

    surface area = base area + lateral area

    A cylinder has 2 base which are circular therefore, the sum of the area of the base is πr² + πr² = 2πr².

    The lateral area is the curved surface area of the cylinder which is the multiplication of the height and the circumference.

    curved surface area = h * circumference = 2πrh

    surface area = 2πr² + 2πrh = 2πr (r + h)

    S = 2πr² + 2πrh = 2πr (r + h)

    The surface area can be calculated if you know the height of the cylinder and the radius. example r = 5 m and h = 10 m

    Using the formula

    S = 2πr² + 2πrh = 2πr (r + h)

    S = 2 * π * 5 (5 + 10)

    S = 10π (15)

    S = 150π m²
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