Question: A climate model uses a spherical cloud with radius $ r $ meters. A hemisphere-shaped storm system forms with radius $ 2r $. What is the ratio of the storms volume to the clouds volume?

Fri, 08 May 2026 21:05:11 +0000

**How Climate Models Model Storms: The Hidden Math Behind Storm Volume** What if we told you that nature’s most powerful weather systems carry a subtle math that reveals their true scale?
A climate model uses a spherical cloud of radius $ r $ meters, while a powerful storm forms as a hemisphere with radius $ 2r $. Just from these simple shapes, we can calculate a surprising ratio—one that helps scientists understand atmospheric dynamics and energy distribution. This ratio of storm volume to cloud volume speaks to the intensity that develops in nature and how climate systems evolve at different scales. --- **Why This Climate Model Question Is Trending Now**