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

  • question_answer
    A cuboidal metal of dimensions \[\text{44 cm}\times \text{3}0\text{ cm}\] \[\times \text{15 cm}\] was melted and cast into a cylinder of height 28 cm. Find its radius.

    A)  20cm                                   

    B)  15cm

    C)  10cm                   

    D)         18cm

    Correct Answer: B

    Solution :

     Volume of cuboid = Volume of cylinder \[\Rightarrow \]\[lbh=\pi {{r}^{2}}h\] \[\Rightarrow \]\[{{r}^{2}}=\frac{44\times 30\times 15\times 7}{22\times 28}\] \[\therefore \] \[\text{r}=\text{15 cm}\] Hence radius of the cylinder is equal to 15 cm.


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