ChatGPT Calculates How Much the Moon Would Weigh if it were Made of Green Cheese

if the moon were made of ordinary green cheese, how much would it weigh

ChatGPT said:

If the Moon were made of ordinary green cheese, we can estimate its weight (more precisely, its mass) by using the volume of the Moon and the density of green cheese.

Step-by-step Estimate:

1. Volume of the Moon
   The Moon is roughly spherical with a radius of about 1,737 km. V=43πr3=43π(1.737×106 m)3≈2.2×1019 m3V = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi (1.737 \times 10^6\, \text{m})^3 \approx 2.2 \times 10^{19}\, \text{m}^3V=34​πr3=34​π(1.737×106m)3≈2.2×1019m3
2. Density of Green Cheese
   Cheese density varies, but for a soft green cheese (like a mild cheddar or gouda), let’s use an average value: ρ≈1,100 kg/m3\rho \approx 1,100\, \text{kg/m}^3ρ≈1,100kg/m3
3. Mass of a Green Cheese Moon Mass=ρ×V≈1,100×2.2×1019=2.42×1022 kg\text{Mass} = \rho \times V \approx 1,100 \times 2.2 \times 10^{19} = 2.42 \times 10^{22}\, \text{kg}Mass=ρ×V≈1,100×2.2×1019=2.42×1022kg

---

Final Answer:

If the Moon were made of ordinary green cheese, it would weigh about 2.4 × 10²² kilograms, which is less than half its actual mass (which is about 7.35 × 10²² kg). A cheese Moon would have lower gravity, and you’d jump a lot higher on it!

Would you like a comparison of how gravity would change on a cheese Moon?