1. **State the problem:** Solve the formula for the volume of a cone, $$V = \frac{1}{3}bh$$, for the height $$h$$. 2. **Recall the formula:** The volume $$V$$ of a cone is given by $$V = \frac{1}{3}bh$$, where $$b$$ is the base area and $$h$$ is the height. 3. **Isolate $$h$$:** Multiply both sides of the equation by 3 to eliminate the fraction: $$3V = bh$$ 4. **Solve for $$h$$:** Divide both sides by $$b$$ to isolate $$h$$: $$h = \frac{3V}{b}$$ 5. **Interpretation:** The height $$h$$ is equal to three times the volume divided by the base area. 6. **Answer choice:** The correct formula for $$h$$ is $$h = \frac{3V}{b}$$, which corresponds to option C. **Final answer:** $$h = \frac{3V}{b}$$