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    Question

    The lateral area is thrice as big as the base area of a

    solid cone. If the diameter of the solid cone is 1 meter, then what is the total surface area of solid cone?
    A 8π Sq. m. Correct Answer Incorrect Answer
    B 2π Sq. m. Correct Answer Incorrect Answer
    C π Sq. m Correct Answer Incorrect Answer
    D 4π Sq. m. Correct Answer Incorrect Answer

    Solution

    Diameter of the cone is 1 meter ⇒ Radius of the cone (r) = 1/2 meter Area of the base of the cone = π(1/2)2 = π/4 Sq. m. The lateral area is thrice as big as the base area ⇒ Lateral area of the cone is 3π/4 Sq. m. Total surface area of the cone = π/4 + 3π/4 ⇒ π Sq. m. ∴ The total surface area of the solid cone is π Sq. m.

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