Question

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

Answer 1

s = n l + nr2 ! S = n ( l + r2) ! S/n = l + r2 ! S/n - r2 = l

Answer 2

The answer is:

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

Explanation:

In order to determine the solution for I, we have to know about the equations.

In any equation there are variables. If we want to determine the value of one of them, we have to free that variable in any side of the equation.

Regarding the surface of a cone, i have attached an image that shows the real formula of the surface of a cone, We can see that in this case:

`l=rI`

So, we have the next formula and we want to solve for l:

`S=\pi l+\pi r^2\\S-\pi r^2=\pi l\\(S-\pi r^2 )/(\pi ) =l`

Finally the solution for I is:

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