To find the slant height of a cone, you can use the Pythagorean theorem. The slant height (l), radius (r), and height (h) of the cone are related by the formula:
\[ l = \sqrt{r^2 + h^2} \]
However, the responses you provided don't give enough information regarding the radius and height of the cone. If you're specifically looking for the correct option concerning calculating slant height, you would generally use the Pythagorean theorem.
The two responses that mention "Use the Pythagorean Theorem" indicate that they are correctly referring to the method you should use.
So, if the values given in those responses are correct based on the dimensions of the cone:
- If the radius and height lead to a slant height of 9.8 ft, that would be correct.
- If they lead to a slant height of 12 ft, that could also be correct.
Without more context or additional dimensions of the cone, it's hard to choose definitively between those two. Check the specific values you have for radius and height to determine which option accurately reflects the calculated slant height.