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    What is the total surface area of a cone whose radius is 24 cm and height is 10 cm?
    Question

    What is the total surface area of a cone whose radius is 24 cm and height is 10 cm?

    A.

    3249.76 cm²

    B.

    4261.23 cm²

    C.

    3771.43 cm²

    D.

    3924.61 cm²

    Correct option is C

    Given:
    Radius (r) = 24 cm
    Height (h) = 10 cm
    Total Surface Area = ?
    Formula Used:
    Total Surface Area of Cone = πr(r+l)\pi r (r + l)​​
    where l=r2+h2 l = \sqrt{r^2 + h^2}​ (slant height)
    Solution:
    l=242+102l=576+100=676=26l = \sqrt{24^2 + 10^2}\\l = \sqrt{576 + 100} = \sqrt{676} = 26​​
    Total Surface Area=π×24×(24+26)=π×24×50=1200πTotal Surface Area=1200×2273771.43 cm2\text{Total Surface Area} = \pi \times 24 \times (24 + 26) \\= \pi \times 24 \times 50 = 1200 \pi\\\text{Total Surface Area} = 1200 \times \frac{22}{7} \approx 3771.43 \, \text{cm}^2\\​​

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