Trying to figure out the answer to another thread.(adsbygoogle = window.adsbygoogle || []).push({});

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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Area of a dome

**Physics Forums | Science Articles, Homework Help, Discussion**