SOLUTION: Let L = lateral area. Given L = pi•r•sqrt{r^2 + h^2}, solve for h.

Question 1208903: Let L = lateral area.

Given L = pi•r•sqrt{r^2 + h^2}, solve for h.
Answer by ikleyn(52855) (Show Source): You can put this solution on YOUR website!
.
Let L = lateral area of a cone.

Given L = pi•r•sqrt{r^2 + h^2}, solve for h.
~~~~~~~~~~~~~~~~~~~~~~~~~~~

Your starting formula is 

    L = .


Divide both sides by 

     = .


Square both sides

     = .


Express  

     =  - 


Take the square root of both sides and use its positive value

    h = .


It is the desired expression for h.    ANSWER

Solved.

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