8th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    A conical flask of radius r and height h is full of water. It is emptied into another conical flask of radius xr. If this flask becomes fall, what is its height?

    A)  \[{{m}^{2}}\]                     

    B)  \[8070{{m}^{2}}\]

    C)  \[8270{{m}^{2}}\]                         

    D)  \[8370{{m}^{2}}\]

    Correct Answer: B

    Solution :

    Let H be the height of II nd flask. Volume of II nd flask = Volume of 1st flask \[=\left( \frac{1}{2}\times BD\times AL \right)+\left( \frac{1}{2}\times BD\times CM \right)\] \[=\frac{1}{2}\times BD\times (AL+CM)\] \[=b\times h\] \[=\frac{1}{2}\times \] \[=\frac{1}{2}{{d}_{1}}\times {{d}_{2}}\]


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