SOLUTION: Myra makes a mug that holds 350 ml and is 11 cm tall as a gift for her friend. Instead of wrapping the mug, she tapes a piece of ribbon around the outside of the mug.What is the s

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Question 902527: Myra makes a mug that holds 350 ml and is 11 cm tall as a gift for her friend.
Instead of wrapping the mug, she tapes a piece of ribbon around the outside of the mug.What is the shortest piece of ribbon she will need?
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Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Volume of a cylinder, v=h%2Api%2Ar%5E2.
r is unknown but h=11 cm and v=350 mL. This means, v=350 cubic centimeter.

The ribbon will go around the circumference.
Ribbon length, c=2%2Api%2Ar.
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r%5E2=v%2F%28h%2Api%29
r=sqrt%28v%2F%28h%2Api%29%29
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highlight%28c=2%2Api%2A%28sqrt%28v%2F%28h%2Api%29%29%29%29

You can rationalize the denominator if you want.
Substitute the given values and evaluate c.