A sphere and a cone have the same volume and base radius. Find the ratio of height of cone to its radius.

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1. Write volumes: sphere $V_s = \frac{4}{3}\pi r^3$. Cone $V_c = \frac{1}{3}\pi r^2 h$.
2. Set them equal: $\frac{1}{3}\pi r^2 h = \frac{4}{3}\pi r^3$.
3. Cancel $\frac{1}{3}\pi r^2$ from both sides and solve: $h = 4r$.
4. **Ratio:** $h:r = 4:1$.
FINAL_ANSWER: c

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