You love jelly beans and want to take some with you to class but realize you have no cup o

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Question description

You love jelly beans and want to take some with you to class but realize you have no cup or container to hold them.  Suppose you decide to build a cylinder container for your candy and all you had was your notecard (4 inches by 6 inches).  Which cylinder container would hold more jelly beans—the tall one (height is 6 inches) formed by folding the paper ‘hot dog’ wise or the short one (height is 4 inches) formed by folding the paper ‘hamburger’ wise?  Turn in at the beginning of class on April 28.

1.  Record your prediction:

 I feel that although both have same measurements that the cylinder made that is folded “hamburger” way at 4inches in height would hold more. When folding it “hotdog” this would make it more narrow. When I feel a cylinder or anything that is more narrow will fill up faster. To me this means that I would predict the jelly beans will fill up the thinner cylinder quicker but with less because there is ales space and jelly beans are kind of fat so they will take up more room. The fatter cylinder will hold more because there is more space to layer them up. That is at least what I predict.

2.  Now, use your math knowledge and problem-solving skills to determine which cylinder does hold more.  Record any work below and explain how you obtained your answer:

3.  What do you know about the lateral areas of each of the cylinders?

4.  Which cylinder (hot dog or hamburger) has the largest surface area (including the bottom and top).  Provide an explanation for your answer.

Tutor Answer

(Top Tutor) Daniel C.
School: UIUC
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