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QuestionMathematics

"A soda can has a diameter of 6 cm. What is the circumference of the can? (Use the formula C=πD.)"
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Answer

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Step 1:
I'll solve this problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Identify the given information

- Formula for circumference: $$C = \pi D
- Diameter (D) = 6 cm

Step 3:
: Substitute the diameter into the circumference formula

C = \pi \times 6

Step 4:
: Calculate the circumference

C = 6\pi \text{ cm}

Step 5:
: If a numerical approximation is needed, use 3.14 for π

C = 6 \times 3.14 = 18.84 \text{ cm}

Final Answer

Key Insights: - The circumference is directly proportional to the diameter - π is a constant used to relate a circle's diameter to its circumference - The formula C = \pi D works for any circular object