A cylindrical can with an open top has a volume of . What radius minimizes the total surface area of sheet metal required?
Answer and explanation
Correct answer: D.
- Step 1: Volume formula: .
- Step 2: Surface area with open top (one circular base plus lateral area): .
- Step 3: Substitute : .
- Step 4: Take derivative: .
Answer
3 cm.
Why not the others: '' squares 3; '' is diameter; '' multiplies by base.
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