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    The height of a right circular cone is 10 cm and its base radius is 24 cm. What is the curved surface area (in cm²) of the cone?
    Question

    The height of a right circular cone is 10 cm and its base radius is 24 cm. What is the curved surface area (in cm²) of the cone?

    A.

    640π

    B.

    620π

    C.

    624π

    D.

    580π

    Correct option is C

    Given:

    Height of the cone h = 10 cm
    Radius of the base r = 24 cm
    Formula Used:
    Curved Surface Area of a cone = πrl
    where: r = radius of the base, l = slant height of the cone
    l=r2+h2l = \sqrt{r^2 + h^2}
    Solution:
    l=242+102=576+100=676=26 cmCSA of cone=π×24×26=624π cm2l = \sqrt{24^2 + 10^2} = \sqrt{576 + 100} = \sqrt{676} = 26 \, \text{cm}\\\text{CSA of cone} = \pi \times 24 \times 26 = 624\pi \, \text{cm}^2​​
    The curved surface area of the cone is 624π\pi​ cm².

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