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NTSE Sample Paper NTSE SAT Practice Test-14

  • question_answer
    Find the volume of the largest sphere that is carved out of a cube of side 7 cm. (you may give the answer approx. in\[c{{m}^{3}}\]).

    A) 180      

    B) 175

    C) 185                              

    D) None of these

    Correct Answer: A

    Solution :

    [a] Radius =3.5 cm = \[\frac{7}{2}\] cm \[\therefore \]Volume \[=\frac{4}{3}\times \frac{22}{7}\times \frac{7}{2}\times \frac{7}{2}\times \frac{7}{2}\]cm3 \[=\frac{539}{3}\,c{{m}^{3}}=180\,\,c{{m}^{3}}\]                           


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