Answer:
[tex]l = \frac{S}{\pi r} - r[/tex]
Step-by-step explanation:
Given the surface area of a cone expressed as S = [tex]\pi r^{2} +\pi rl[/tex] 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;
[tex]S = \pi r^{2} + \pi rl\\S = \pi r (r + l)\\\frac{S}{\pi r} = r+l\\l = \frac{S}{\pi r} - r\\[/tex]
The final expression gives the value of the slant height.
Answer: l=s/3.14-r2
Step-by-step explanation:
did it on Edg and the 3.14 i’d supposed to be the symbol for pi hope it helps :)
