A can of juice in aluminium of standard cylindrical size has a circumference of 18.85 cm and a height of 12 cm. The amount of juice content in the can corresponds approximately at 95% of its capacity. Task: determine whether the dimensions of a new can of juice could save a minimum of 30% of materials by keeping the same volume. Choose from the suggested choices. This can of juice must meet the following conditions : The capacity of the can should be the same. The can must be cylindrical in shape. The new dimensions must allow for a minimum of 30% of material. Choice of answers a) Yes, it is possible with a can with a radius of 3.5 cm and a height of 6 cm. b) Yes, this is possible since the allowable amount of aluminum that can be removed is greater than 199 cm2. c) Yes, it is possible and we can save about 85 cm2 of aluminum. d) Yes, it is possible since the initial radius of the can is 3 dm.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
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A can of juice in aluminium of standard cylindrical size has a circumference of 18.85 cm and a height of 12 cm. The amount of juice content in the can corresponds approximately at 95% of its capacity.
Task: determine whether the dimensions of a new can of juice
could save a minimum of 30% of materials by keeping the same
volume. Choose from the suggested choices.

This can of juice must meet the following conditions :

  • The capacity of the can should be the same.
  • The can must be cylindrical in shape.
  • The new dimensions must allow for a minimum of 30% of
    material.

Choice of answers
a) Yes, it is possible with a can with a radius of 3.5 cm and a height of 6 cm.
b) Yes, this is possible since the allowable amount of aluminum that can be removed is greater than 199 cm2.
c) Yes, it is possible and we can save about 85 cm2 of aluminum.
d) Yes, it is possible since the initial radius of the can is 3 dm.

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