A sphere of radius r has volume 43pi r3 and surface area 4pi r2. A hemisphere has half the sphere’s volume and half its curved area, but cutting it also exposes a circular disk. **Hemisphere measure** | **Formula** Volume | 23pi r3 Curved surface area | 2pi r2 Total area including circular base | 3pi r2 Example A solid hemisphere of radius 6 cm has volume 144pi cm3, curved area 72pi cm2, and total surface area 108pi cm2. A full sphere of the same radius has volume 288pi cm3 and surface area 144pi cm2. “Hemispherical bowl” usually asks for a curved surface, but read whether inner surface, outer surface, rim or thickness is included. The shape’s name alone does not settle which surfaces are exposed.

A sphere of radius \(r\) has volume \(\dfrac43\pi r^3\) and surface area \(4\pi r^2\). A hemisphere has half the sphere’s volume and half its curved area, but cutting it also exposes a circular disk.

A solid hemisphere of radius 6 cm has volume \(144\pi\text{ cm}^3\), curved area \(72\pi\text{ cm}^2\), and total surface area \(108\pi\text{ cm}^2\). A full sphere of the same radius has volume \(288\pi\text{ cm}^3\) and surface area \(144\pi\text{ cm}^2\).

“Hemispherical bowl” usually asks for a curved surface, but read whether inner surface, outer surface, rim or thickness is included. The shape’s name alone does not settle which surfaces are exposed.

Hemisphere measure	Formula
Volume	\(\dfrac23\pi r^3\)
Curved surface area	\(2\pi r^2\)
Total area including circular base	\(3\pi r^2\)

Spheres and hemispheres

Spheres and hemispheres