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  • Category: Miscellaneous

    I came across this math fun and thought of putting a question here

    A guy went to a pizza shop and ordered a 9-inch pizza, but the waiter came with two 5-inch pizzas and said 9-inch pizza was unavailable, so he brought two 5-inch pizzas for the same cost, thus giving one inch free. The guy got angry with the word free, went to the owner, and proved the waiter wrong. How did he prove that the waiter was wrong? Please come up with a mathematical solution.

    Let me see who is giving the correct answer.
  • #781845
    A 9-inch Pizza is bigger than two numbers of 5-inch Pizzas.
    This statement is true when the thickness of the Pizza in both the cases is same.
    The area of the 9-inch pizza is 63.64 square inches.
    The area of a 5-inch Pizza is 19.64 square inches. The total area of 2 numbers of Pizzas will be 39.28 square inches.
    When the thickness is taken as 1 the volume of 9 inch pizza will be 63.64 inch cube. The volume of 2 numbers of 5-inch pizza will be a 39.28-inch cube. So the volume is less by a 24.36-inch cube.
    Recently I read this somewhere on Social media like WhatsApp.

    drrao
    always confident

  • #781857
    Yes Dr.Rao. I too have come across in social media. But that was only with area with the formula pi x r square where r is the radius. In this case 9/2 and 5/2 are radii of pizzas respectively and pi is taken as 3.1415...

    In your case for the sake of easy calculation they have taken 1 as height while it is hold good for any height as the formula to calculate is pi x r square x height.

    The fun here is even while eating pizza the guy is shrewd in calculation. So I always say maths should be taught in such a way that people should not get fear.

    shasthranaam Ganitham moordhanisthitham

  • #781862
    Sarojah, Thank you. There is a spelling mistake in my name in your response. I request you to kindly edit the same. I have also calculated the area with the same formula mentioned by you and to calculate the volume I took I as the height so that the calculation will be the same for any height.
    drrao
    always confident


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