10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    Water flows at the rate of 10 m per minute from a cylindrical pipe 5 mm in diameter. A conical vessel, whose diameter at the base is 40 cm and depth 24 cm, is filled. The time taken to fill the conical vessel is

    A)  50 minutes

    B)  50 minutes 12 seconds

    C)  51 minutes 12 seconds  

    D)  51 minutes 15 seconds

    Correct Answer: C

    Solution :

     Volume of water per minute \[=\pi {{\left( \frac{5}{2} \right)}^{2}}\times 10\times 100\times 10\] \[=\frac{25\times 100\times 100}{4}\pi \,\,m{{m}^{3}}\] Volume of conical vessel                 \[=\frac{1}{3}\,\pi .\,{{(200)}^{2}}.240\] \[\therefore \]  Time taken \[=\frac{\frac{1}{3}\pi \times 200\times 200\times 240}{25\times 100\times 100\times \pi }\times 4\]                 \[=\frac{3840}{75}\] minutes                 \[=51\,\min utes\,\,12\,\text{seconds}\]


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