2. Sample Papers
  3. SSC

SSC Sample Paper SSC CGL - Sample Paper-26

  • question_answer
    A cylinderical tube open at both ends is made of metal. The internal diameter of the tube is 11.2 cm and its length is 21 cm. The metal everywhere is 0.4 cm thick. The volume of metal take \[\left( \text{take}\,\,\pi \text{=}\frac{22}{7} \right)\] is

    A) \[316\,\text{c}{{\text{m}}^{\text{3}}}\]                       

    B) \[311\,\text{c}{{\text{m}}^{\text{3}}}\]

    C) \[306.24\,\text{c}{{\text{m}}^{\text{3}}}\]      

    D) \[280.52\,\text{c}{{\text{m}}^{\text{3}}}\]

    Correct Answer: C

    Solution :

    \[\because \] \[{{r}_{1}}=\frac{11.2}{2}cm=5.6\] and \[{{r}_{2}}=5.6+0.4=6\,cm\] and \[h=21\,cm\] \[\therefore \] Volume of metal \[=\pi (r_{2}^{2}-r_{1}^{2})h\]                         \[=\frac{22}{7}\times ({{6}^{2}}-{{(5.6)}^{2}})\times 21\]                         \[=\text{ }66\times (36-31.36)\]                         \[=66\times 4.64\]                         \[=306.24\,c{{m}^{3}}\]         


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