Question

The surface area of a cone is given by the formula
S = πl + πr2. Solve the formula for l.

Answer 1

Start my moving terms to one side of the equation to isolate the term with 'l' in it.

(pi)(l)=S- (pi)(r^2)

Then divide to get the 'l' term alone.

l = (S/(pi)) - r^2

Answer 2

l = (S - πr²) / π

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.