Answer:
![l = (S)/(\pi r) - r](https://img.qammunity.org/2021/formulas/mathematics/high-school/suhchhwsd5tdk5564bkgvgmjxy04imevhb.png)
Explanation:
Given the surface area of a cone expressed as S =
where r is the radius of the cone and 'l' is its slant height. To find the slant height from the formula, we will make l the subject of the formula as shown;
![S = \pi r^(2) + \pi rl\\S = \pi r (r + l)\\(S)/(\pi r) = r+l\\l = (S)/(\pi r) - r\\](https://img.qammunity.org/2021/formulas/mathematics/high-school/r823ea01mcvb4ej5a0yiui9n5b3wfvnecv.png)
The final expression gives the value of the slant height.