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    What is the area of the curved surface of a right circular cone with height 8 m and slant height 10 m?
    Question

    What is the area of the curved surface of a right circular cone with height 8 m and slant height 10 m?

    A.

    60 m²

    B.

    60π m²

    C.

    40 m²

    D.

    40π m²

    Correct option is B

    Given:

    A right circular cone with height 8 m and slant height 10 m

    Concept used:

    Curve surface area of cone = πrl

    Radius of cone = √[(l)2 - (h)2

    Solution:

    According to the question,

    Radius = [(10)2(8)2]√[(10)^2 - (8)^2]​​

    => R = √[100 - 64]

    => R = √36 = 6 m

    Now Curve surface area of cone

    => CSA = π × 6 × 10

    => CSA = 60π m2

    ∴ The area of the curved surface of a right circular cone is 60π m2.

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