Trying to figure out the answer to another thread. What is formula for the surface area of a dome? Googling got me [tex]2\pi r h[/tex] (where [tex]h[/tex] is the height of the dome above its slice through the sphere). Is that right? Ultimately, I'm trying to figure out how the area changes as a function of the slice through the sphere. i.e.: When the slice goes through the centre of the sphere, the area is X (in fact, exactly half of the sphere's area). OK. Now, if I move the slice out to [tex]1/2 r[/tex], what does that do to the area of the dome? Does the area halve? or quarter?