Question

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

Answer 1

Answer:

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

Explanation:

Given equation is:

S = 2πrh + πr²

We need to solve this equation for h.

In order to solve for h, we will isolate the h

Step 1: Subtract πr² both the side.

S - πr² = 2πrh + πr²-πr²

S - πr² = 2πrh

Now divide by 2πr both the side.

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

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

That's the final answer.

I hope its help you.