Geometry

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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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