Kadia has a cylindrical cup that contains 22 oz of lemonade. She also had some cone shaped paper cups with the same height and radius as the

Question

Kadia has a cylindrical cup that contains 22 oz of lemonade. She also had some cone shaped paper cups with the same height and radius as the cylindrical cup. How many cone shaped paper cups can she fill with the lemonade

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Faith 1 week 2021-09-15T03:50:08+00:00 1 Answer 0

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    2021-09-15T03:52:06+00:00

    Answer:

    She can fill 3 cone shaped paper cups with the lemonade.

    Step-by-step explanation:

    Given:

    Kadia has a cylindrical cup that contains 22 oz of lemonade.

    She also had some cone shaped paper cups.

    The cone shaped paper cups has the same height and radius as the cylindrical cup.

    Now, to find the number of cone shaped paper cups she can fill with the lemonade.

    As, the volume of cylinder = \pi r^2h

    And, the volume of cone = \pi r^2h\times \frac{1}{3}

    So, the volume of cone is \frac{1}{3} of the volume of cylinder.

    As, the cone shaped paper cups has the same height and radius as the cylindrical cup.

    Thus, the volume of cone shaped paper cup is \frac{1}{3} of the cylindrical cup.

    If, 1 cone paper cup = \frac{1}{3} cylindrical cup.

    Thus, 3 cone paper cup = 1 cylindrical cup.

    As, the cylindrical cup Kadia has, contains 22 oz of lemonade.

    So, it needs 3 cone shaped paper cups to fill the 22 oz lemonade.

    Therefore, she can fill 3 cone shaped paper cups with the lemonade.

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