8th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    A well 12 m deep with a diameter 3.5 m is dug up and earth from it is evenly spread to form a platform 10.5 m long and 8.8 m wide. Find the height of the platform.

    A)  2.5 m             

    B)  12.5 m           

    C)  1.25m

    D)         1.5m  

    Correct Answer: C

    Solution :

    Let r and h be the radius and depth of well. Volume of earth dug out \[=\pi {{r}^{2}}h\] \[=\frac{22}{7}\times \frac{3.5}{2}\times \frac{3.5}{2}\times 12=115.5{{m}^{2}}\] Let \[x\] be the height of platform Now, volume of platform                         =volume of earth dug not \[\Rightarrow 10.5\times 8.8\times x=115.5\] \[\Rightarrow x=\frac{115.5}{10.5\times 8.8}=1.25m\]


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