2. Questions Bank
  3. SSC
  4. Quantitative Aptitude
  5. Mensuration

SSC Quantitative Aptitude Mensuration Question Bank Mensuration-II (II)

  • question_answer
    A rectangular block of metal has dimensions 21 cm 7 cm and 24 cm. The block has been melted into a sphere. The radius of the sphere  is\[\left( \text{take}\,\pi =\frac{22}{7} \right)\]

    A) 21 cm

    B) 7 cm

    C) 14 cm

    D) 28 cm

    Correct Answer: A

    Solution :

    [a] Let radius of the sphere \[=r\,cm\] Then, \[\frac{4}{3}\,\pi {{r}^{3}}=21\times 77\times 24\] \[\Rightarrow \]   \[{{r}^{3}}=21\times 77\times 24\times \frac{3}{4}\times \frac{7}{22}\] \[{{r}^{3}}=9261\] \[\Rightarrow \]   \[r=21\,cm\]


You need to login to perform this action.
You will be redirected in 3 sec spinner