Question

Marta is solving the equation S = 2Πrh + 2Πr2 for h. Which should be the result?

Answer 1

s = total surface area of cylinder
r radius of cylinder
h height of cylinder

Answer 2

Answer:

$\text{Value for h is } \frac{1}{2\pi r}(S-2\pi r^2)$

Step-by-step explanation:

Given that Marta is solving the equation

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

We have to solve the equation for h.

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

$\text{Subtracting }2\pi r^2\text{from both sides}$

⇒ $S-2\pi r^2=2\pi rh$

Divide by 2πr throughout, we get

⇒ $\frac{1}{2\pi r}(S-2\pi r^2)=h$

Hence, the value for h is

$\frac{1}{2\pi r}(S-2\pi r^2)$