All Fermi answers
Fermi #105 · Question 1

How many oranges would it take to fill a standard 55 gallon (208 L) oil drum with orange juice?

Explore the official answer and the simple reasoning behind this Fermi estimate.

1QUESTION 1 OF 3

Answer & explanation

The official answer, with Fermi’s reasoning step by step.

Answer & explanation

Official answer

2,500

oranges

How to estimate it

Fermi’s official “Napkin math”

If you have ever juiced an orange you could guess maybe an orange has around 3 ounces of juice. Then you just need to convert ounces to gallons.

Juice per orange
~3 oz
The drum, 55 gal × 128 oz
7,040 oz
7,040 ÷ 3
≈ 2,300

Rounded assumptions may give a slightly different estimate. The official answer above is the game’s reference value.

Source calculation & reference
55 US gallon drum
7,040 fl oz
Orange juice, USDA, 31 g per fl oz
≈ 218,240 g
Juice from one orange, USDA
÷ 86 g
218,240 ÷ 86 = 2,538, rounded
≈ 2,500

Reference cited by Fermi: USDA and the Florida Dept. of Citrus

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