Multiple Choice Questions on A sphere has the same curved surface area as a cone of vertical height 40 cm and radius 30 cm The ra........... for SSC CGL Exam Preparation

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Multiple Choice Questions

A sphere has the same curved surface area as a cone of vertical height 40 cm and radius 30 cm The ra...........

Quantitative Aptitude (CGL) Mensuration 3D
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    A sphere has the same curved surface area as a cone of vertical height 40 cm and radius 30 cm. The radius of the sphere is

    5√5 cm

    Incorrect Answer

    5√3 cm

    Incorrect Answer

    5√15 cm

    Correct Answer

    5√10 cm

    Incorrect Answer
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    Explanation:

    Let the sphere’s radius = r;
    The slant height of the cone= √402+302 = 50
    4*pi*r2 = pi *(30) *50;
    After solving,
    4* r2 = 1500;
    r2 = 1500/4; => r=5√15 cm

    By: MIRZA SADDAM HUSSAIN
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