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24 March, 07:29

A cylinder has a surface area of 339cm. The radius is two times greater than the height. what is the radius of the cylinder.

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  1. 24 March, 07:41
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    The answer is 6 cm.

    The surface area of the cylinder is:

    SA = 2πr² + 2πrh

    SA = 339

    r = 2h

    ⇒ h = r/2

    r = ?

    π = 3.14

    339 = 2πr² + 2πr*r/2

    339 = 2πr² + πr*r

    339 = 3πr²

    πr² = 339/3

    πr² = 113

    r² = 113/π

    r² = 113/3.14

    r² ≈ 36

    r = √36

    r = 6
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