Surface to Volume

The radius is the bridge between everything a sphere measures. Given the surface area, find the radius, then the volume.

This sphere has surface area 36π. Step one: $36\cdot \pi = 4\cdot \pi\cdot {r}^{2}$ gives r = 3. Step two: $\frac{4}{3}\cdot \pi\cdot {3}^{3} = 36\cdot \pi$. The volume is 36π as well, because radius 3 is the one radius where the two numbers match.

On the board, tap the radius and pick the surface rule, then tap the sphere and pick Volume of a sphere.