Answer:
[tex]\frac{S - 2\pi r^{2}}{2\pi r} =h[/tex]
Step-by-step explanation:
The given equation is
[tex]S=2\pi rh+2\pi r^{2}[/tex]
Which is the equation of a surface area.
Marta is solving this equation for [tex]h[/tex], that means we need to isolate that variable.
First, we move the term nex to the one containing [tex]h[/tex]
[tex]S - 2\pi r^{2}=2\pi rh[/tex]
Second, we move all factors which are multiplying the variable [tex]h[/tex], they must pass to the other side of the equality as divisors,
[tex]\frac{S - 2\pi r^{2}}{2\pi r} =h[/tex]
Therefore, the result Marta should get is
[tex]\frac{S - 2\pi r^{2}}{2\pi r} =h[/tex]
