Explanation:

- The volume of a cone is calculated using the formula: \(\frac{1}{3} \pi r^2 h\), where \(r\) is the radius and \(h\) is the height.

- If the height of a cone is tripled, then the new volume becomes \(\frac{1}{3} \pi r^2 (3h)\).

- Simplifying the new volume gives \(3 \times (\frac{1}{3} \pi r^2 h)\), meaning the volume of the new cone is three times the original.

- Therefore, the ratio of the volume of the original cone to the new cone is \(1:3\).

Thus, the correct option is:

- Option:1, 1 : 3

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