2.22. A metal sphere of radius $R$ is melted and recast into a cone, the lateral surface area of which is three times the area of the base. Calculate the height of the cone.
2.22. The $z$ a n i e. Use the fact that the volumes of a sphere and a cone are $\frac{4}{3} \pi R^{3}$, as well as the equality $3 \pi r^{2}=\pi r l$, where $r$ is the radius of the base of the cone, and $l$ is its slant height.

Answer: $2 R \sqrt[3]{4}$.