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A cylindrical can holds three equal-sized balls perfectly. Which is larger, the can's height or the can's circumference?

  • Geometry - ,

    Let the ball's radius be R.
    The can's height is 6R.
    The can's circumference is 2 pi R.

    2 pi = 6.283.. > 6

    Therefore, _____

  • Geometry - ,

    Great question, one of my favourites.

    I used to bring a tennis-ball can into class and challenge my students to give me a solution and explanation verbally.

    Thanks drwls for the reminder.

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