The conversation between human and AI assistant.
Why is the volume of sphere [math]\frac43 \pi r^3[/math]?
That makes sense. Is there another way to derive the formula?
Another way to derive the formula is by using calculus to find the volume of a solid of revolution. By revolving a semi-circle around its diameter, we can create a sphere. By finding the volume of this solid of revolution using calculus, we arrive at the same formula for the volume of a sphere.