The cylinder's curved looks like a rectangle when unfolded. Since, the cylinder and hemisphere have the same formula for curved surface area - $2\pi r * h$, I assume the hemisphere will also form a rectangle when unfolded similar to how the area of a circle is determined. However, I can not understand how to unfold the hemisphere. A diagram I made to understand the thing.
2026-04-02 20:31:21.1775161881
How does a hemisphere's curved surface look unfolded?
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A cylinder and a hemisphere do NOT have the same curved surface. The Gaussian curvature of a sphere is $1/r$ and that of the cylinder is $0$. A cylinder can be unrolled onto a plane whereas a sphere cannot (without ripping or stretching).