Respuesta :

Stephen46

Answer:

[tex]h = \frac{S - 2πr²}{2\pi r} [/tex]

Step-by-step explanation:

S = 2πr² + 2πrh

Move 2πr² to the left side of the equation

That's

2πrh = S - 2πr²

Divide both sides by 2πr to make h stand alone

That's

[tex] \frac{2\pi rh}{2\pi r} = \frac{S - 2πr²}{2\pi r} [/tex]

We have the final answer as

[tex]h = \frac{S - 2πr²}{2\pi r} [/tex]

Hope this helps you

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