SOLUTION: Cans of tomatoes are 7cm in diameter and 4.5cm in height.They are tightly packed into a cardboard box of 48 cans per box. what would the volume of wasted space be?
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-> SOLUTION: Cans of tomatoes are 7cm in diameter and 4.5cm in height.They are tightly packed into a cardboard box of 48 cans per box. what would the volume of wasted space be?
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Question 1020779: Cans of tomatoes are 7cm in diameter and 4.5cm in height.They are tightly packed into a cardboard box of 48 cans per box. what would the volume of wasted space be?
My friends and I were assigned to a group project. We have an answer but are not sure if it's correct. We would really appreciate it if someone could please help us with this question.Thank you very much. Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! Each can be packed in a box which is .7cm by .7cm by 4.5cm high
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the volume of this can box is .7 * .7 * 4.5 = 2.205 cm^3
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the volume of a can = pi * radius^2 * height = (22/7) * (0.35)^2 * 4.5 = 1.7325 cm^3
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the wasted space for a single can is 2.205 - 1.7325 = 0.4725 cm^3
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there are 48 cans, therefore the total wasted space = 48 * 0.4725 = 22.68 cm^3
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