SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-3

  • question_answer
    A child reshapes a cone made up of clay of height 24cm and radius 6cm into a sphere. The radius (in cm) of the sphere is

    A)  6                                  

    B)  12

    C)  24                   

    D)         48

    Correct Answer: A

    Solution :

     Volume of the cone\[=\frac{1}{3}\pi {{r}^{2}}h\]             \[=\frac{\pi }{3}\times 6\times 6\times 24\text{c}{{\text{m}}^{\text{3}}}\]             = Volume of the sphere If the radius of the sphere be \[r\]cm, then             \[\frac{4}{3}\pi {{r}^{3}}=\frac{\pi }{3}\times 6\times 6\times 24\] \[\Rightarrow \]   \[{{r}^{3}}=6\times 6\times 6\] \[\therefore \]      \[r=\sqrt{6\times 6\times 6}=6\,\,\text{cm}\]


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