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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-3

  • question_answer
    A cardboard sheet in the form of a circular sector of radius 30 cm and central angle 144° is folded to make a cone. What is the radius of the cone?

    A) 12 cm  

    B) 18 cm

    C) 21 cm  

    D) None of the above

    Correct Answer: A

    Solution :

    Here, length of the arc of the sector\[=2\pi R\left( \frac{0}{{{360}^{\circ }}} \right)\] Also, circumference of the cone = 27\[\pi \]r \[2\pi r=2\pi \times 30\times \frac{{{144}^{\circ }}}{{{360}^{\circ }}}\] \[\Rightarrow r=\frac{30\times {{144}^{\circ }}}{{{360}^{\circ }}}=\]


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