'Concentrating' on Orange Juice
by Brian Errey
83
skips
skips
17
questions
questions
Act One
Act Two
 Imagemixing directions
 Imagevolume of orange juice concentrate
 Imagecurrent height of orange juice
 Imagediameter of pitcher
 Imagediameter of can
 Imageheight of can
 Teacher noteThe volume marked on the can (474 mL) is different than the full volume of the can. Using the actually dimensions of the can the volume will be greater.
1 cubic centimetre = 1 mL
Act Three
 Imagepicture 1
 Imagepicture 2
 Teacher noteOne possible solution: Using the height of 16 cm and diameter of 6.5 cm ...volume of a full can of water is 531 mL (vs the canâ€™s listed volume of 474 mL) 1.857 cans of water are needed to make the required amount of orange juiceâ€¦therefore the height of the water in the second can of water represents 0.857 of a can or 986 mLâ€“ 531 mL = 455 mLâ€¦height of final pour is 13.7 cm >> approx. 2.5 cm from the top)
 Imagepicture 3
Sequel
 1.
If you were able to use the can AND an additional container, can you think of another way to solve the 'mixup' ?
 2.
If you were to share the orange juice equally with a family of 4, what could be some possible dimensions of the glasses ?
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How much water should go in? At end, how can one measure how much water he did pour in?

How many cups of water will be needed to mix with the orange concentrate to make the juice?
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