# The spherical dome: Surface area and volume

The spherical dome is the figure resulting from having made a flat cut in a sphere.

The height and the maximum radius of the dome are related by the following expression with the radio of the sphere: $$R=\dfrac{r^2+h^2}{2h}$$$The area and volume are calculated: $$A=2\pi \cdot R \cdot h \\ V=\dfrac{1}{3}\pi \cdot h^2(3R-h)$$$