The conversation between human and AI assistant.
How is the volume of a hemisphere determined?
Interesting. Can you explain how this formula is derived?
Sure. A hemisphere is half of a sphere, so its volume is half of the volume of a sphere. The volume of a sphere is (4/3)πr³, so the volume of a hemisphere is (1/2) × 4/3 × π × r³, which simplifies to (2/3)πr³.