8th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    The thickness of a hollow metallic cylinder is 2 cm. It is 70 cm long with outer radius of 14 cm. Find the volume of the metal used in making the cylinder, assuming that it is open at both the ends. Also find its weight if the metal weighs \[\text{8 g per c}{{\text{m}}^{\text{3}}}\].

    A)  \[\text{10440 c}{{\text{m}}^{\text{3}}}\text{, 91250 g}\]

    B)  \[\text{13440 c}{{\text{m}}^{\text{3}}}\text{, 90000 g}\]

    C)  \[\text{11440 c}{{\text{m}}^{\text{3}}}\text{, 91520 g}\]

    D)  \[\text{12440 c}{{\text{m}}^{\text{3}}}\text{, 91550 g}\]

    Correct Answer: C

    Solution :

    Thickness of the hollow metallic cylinder = 2 cm Height of the cylinder = 70 cm Let R and r be the outer and inner radii of the cylinder \[\therefore R=14cm\] and \[r-14-2=12cm\] Volume of the metal used \[=\pi h({{R}^{2}}-{{r}^{2}})\] \[=\frac{22}{7}\times 70({{14}^{2}}-{{12}^{2}})=220\times 52=11440\] If the metal weighs 8g per \[c{{m}^{3}}\], so \[11440c{{m}^{3}}\]. Metal weigh\[=11440\times 8=91.520g\]


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