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Fermi Estimation Problem Generator | Back-of-Envelope Calculations

Practice Fermi estimation with classic problems like "How many piano tuners in Chicago?" Includes step-by-step reasoning and accepted answers.

Fermi Problem

How many soccer balls would it take to fill this classroom?

Difficulty: Easy

Estimated Answer

~20,000

Reasoning

Classroom ≈ 10m × 8m × 3m = 240 m³. Soccer ball diameter ~22cm, volume ≈ 5,575 cm³. Packing ~64%. 240,000,000 × 0.64 ÷ 5,575 ≈ 27,500. Accounting for furniture: ~20,000.

Accepted Answer

~20,000-25,000

Tip

In Fermi estimation, being within an order of magnitude (10×) is considered a good estimate!

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