Answer:
l = (S - πr²) / π
Step-by-step explanation:
The problem gives us the formula for the surface area of a cone S, we will solve the formula for l.
The formula is
S = πl + πr²
If we take the πr² to the other side, we get:
S - πr² = πl
Now we divide by π, and we get:
(S - πr²) / π = l
Therefore solving for l, we get that
l = (S - πr²) / π.