Question

Marta is solving the equation S = 2πrh + 2πr2 for h. Which should be the result?

Answer 1

Answer:

$\frac{S - 2\pi r^{2}}{2\pi r} =h$

Step-by-step explanation:

The given equation is

$S=2\pi rh+2\pi r^{2}$

Which is the equation of a surface area.

Marta is solving this equation for $h$, that means we need to isolate that variable.

First, we move the term nex to the one containing $h$

$S - 2\pi r^{2}=2\pi rh$

Second, we move all factors which are multiplying the variable $h$, they must pass to the other side of the equality as divisors,

$\frac{S - 2\pi r^{2}}{2\pi r} =h$

Therefore, the result Marta should get is

$\frac{S - 2\pi r^{2}}{2\pi r} =h$

Answer 2

Answer:

Step-by-step explanation:

Only the term 2πrh contains h.  Isolate this term on the right by subtracting 2πr^2 from both sides:

S - 2πr^2 = 2πrh

Now divide the left side by 2πr, obtaining:

         s - 2πr^2

h =   ------------------

             2πr