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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 8Ο€ Sq. m. Correct Answer Incorrect Answer
    B 2Ο€ Sq. m. Correct Answer Incorrect Answer
    C Ο€ Sq. m Correct Answer Incorrect Answer
    D 4Ο€ Sq. m. Correct Answer Incorrect Answer

    Solution

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

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