9th Class Mathematics Surface Areas and Volumes Question Bank Surface Area and Volume

  • question_answer
    At a Dusherra Mela, a stall keeper in one of the food stalls has a large cylindrical vessel of base radius 25 cm filled lap to height of 24 cm with orange juice. The juice is filled in small cylindrical glasses (See figure) of radius 5 cm up to a height of 6 cm, and sold for Rs. 10 each. How much money does the stall keeper receive by selling the juice completely?

    A)  Rs 1000           

    B)  Rs 800           

    C)  Rs 1200          

    D)  Rs 900

    Correct Answer: A

    Solution :

    (a): The volume of juice in the vessel \[=\pi \times 25\times 25\times 24\] The volume of one glass\[=\pi \times 5\times 5\times 6c{{m}^{3}}\] So, number of glasses of juice that are sold \[=\frac{Volume\text{ }of\text{ }the\text{ }vessel}{Volume\text{ }of\text{ }each\text{ }glass}\] \[=\frac{\pi \times 25\times 25\times 24}{\pi \times 5\times 5\times 6}\] =100 Therefore, amount received by the stall keeper\[=Rs\,10\times 100\] =Rs 1000         


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