Mathematics: The surface area, A, of a cylinder of radius, r, and height, h, can be found with the equation above. Which of the following correctly shows the cylinder s height in terms of its radius and surface area?

The surface area, A, of a cylinder of radius, r, and

officialrogerfp3gf2s

30.01.2022

Step-by-step explanation:

If r and h are the radius and height of the cylinder, then its surface area A is given by :

$A=2\pi r^2+2\pi rh$ ....(1)

We need to find the cylinder's height in terms of its radius and surface area. Subtracting $2\pi rh$ on both sides, we get :

$A-2\pi r^2=2\pi rh+2\pi r^2-2\pi r^2\\\\A-2\pi r^2=2\pi rh$

Dividing both sides by $2\pi r$ . So,

$\dfrac{A-2\pi r^2}{2\pi r}=\dfrac{2\pi rh}{2\pi r}\\\\h=\dfrac{A-2\pi r^2}{2\pi r}$

Hence, this is the required solution.

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yedida

20.06.2021

like i shaid

Step-by-step explanation:

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