A designer of vegetable cans wants to redesign the cans by enlarging the area of the
base to twice the original size. The new can should hold the same amount of
vegetables. How should the designer change the height of the can?
CLEAR
CHECK
Keep it the same height as the original can.
Make it four times the height of the original can.
Make it twice the height of the original can.
Make it half the height of the original can.



Answer :

Final answer:

To maintain the volume of the can when enlarging the base area, the designer should adjust the height proportionally to the original height.


Explanation:

The designer should keep the new can twice the height of the original can to ensure it holds the same amount of vegetables when the base area is doubled. This is because when the base area is enlarged, the height must be adjusted proportionally to maintain the volume constant.

For example, if the original can had a height of 4 units, the new can should have a height of 8 units (twice the original height) to maintain the volume of the can.


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