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The lateral surface area of a cylinder is given by the formula S=2 \pirh. Solve the equation for r.

Respuesta :

texaschic101
s = 2 * (pi) * r * h.....for r
divide both sides by 2 * pi * h
s / (2(pi)h = r

Answer:

The equation for r is given by:

                  [tex]r=\dfrac{S}{2\pi h}[/tex]

Step-by-step explanation:

It is given that:

The lateral surface area of a cylinder is given by the formula S=2πrh.

where π is an irrational number. r denotes the radius of the base of the cylinder and h denote the height of the cylinder.

Now, we are asked to solve for r.

i.e. we need to express r in terms of other variables with the help of the given formula.

Hence, we get:

                          [tex]r=\dfrac{S}{2\pi h}[/tex]

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