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A cylindrical can is to be made with a fixed volume of 1000 cm³. What dimensions minimize the surface area? (2022)

Practice Questions

1 question
Q1
A cylindrical can is to be made with a fixed volume of 1000 cm³. What dimensions minimize the surface area? (2022)
  1. 10 cm height, 10 cm radius
  2. 5 cm height, 15.87 cm radius
  3. 8 cm height, 12.5 cm radius
  4. 12 cm height, 8.33 cm radius

Questions & Step-by-step Solutions

1 item
Q
Q: A cylindrical can is to be made with a fixed volume of 1000 cm³. What dimensions minimize the surface area? (2022)
Solution: Using the formula for surface area and volume, the optimal dimensions are found to be 5 cm height and approximately 15.87 cm radius.
Steps: 0

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