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    In a right-angled triangle hypotenuse is 8√10 cm and based is half of the height. If height and based of the triangle are equal to height & radius
    Question


    In a right-angled triangle hypotenuse is 8√10 cm and based is half of the height. If height and based of the triangle are equal to height & radius of a cylinder, then find curved surface area of cylinder.

    A.

    512π sq cm

    B.

    256 π sq cm

    C.

    128 π sq cm

    D.

    556 π sq cm

    E.

    None of these

    Correct option is A

    Let height of triangle = 2x
    So, based of triangle = x


    Curved surface area of cylinder = 2πrh
    = 2π 2x ×x
    = 4×128π
    = 512π sq cm

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