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NTSE Sample Paper NTSE SAT Practice Test-16

  • question_answer
    An iron block is of the form of a cylinder of 1.5 m diameter and 3.5 in length. The block is rolled out into the form of a bar, having a square section of side 5 cm. Find the length of the bar.

    A) 2375m                         

    B) 2475m

    C) 2575m                         

    D) 2600m

    Correct Answer: B

    Solution :

    [b] Volume of the cylindrical block \[=\frac{22}{7}\times \frac{3}{4}\times \frac{3}{4}\times 3.5{{m}^{3}}=\frac{99}{16}{{m}^{3}}\] Side of the square bar = 5cm = \[\frac{1}{20}\] m \[\therefore \,\,\frac{99}{16}={{\left( \frac{1}{20} \right)}^{2}}\] \[\Rightarrow \]Length of the bar = 2475 m.


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