10th Class Mathematics Surface Areas and Volumes Question Bank Surface Areas and Volumes

  • question_answer
    The number of solid spheres, each of diameter 6 cm that could be moulded to form a solid metal cylinder of height 45 cm and diameter 4 cm, is __.

    A)  3                                

    B)  4                    

    C)  5                                

    D)  6

    Correct Answer: C

    Solution :

    Volume of one solid sphere \[=\frac{4}{3}\pi \times {{(3)}^{3}}\] Volume of cylinder \[=\pi {{r}^{2}}h=\pi \times 4\times 45\] Now, Number of spheres x Volume of one sphere = Volume of cylinder \[\Rightarrow \]Number of spheres \[\times \frac{4}{3}\pi {{(3)}^{3}}=\pi \times 4\times 45\] \[\Rightarrow \]Number of spheres \[=\frac{49}{9}=5\]


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