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contestada

the total surface area of ​​a closed cylinder is given by the formula A = 2πrh +2πr.Express h in terms of r.

Respuesta :

kirabowen15
Α = 2πrh + 2πr to be expressed in terms of r.

We are going to transpose to do this.

Α ÷ 2π = 2πrh + 2πr ÷ 2π
Α ÷ 2π ÷ 2πh = 2πrh + r ÷ 2πh
(Α ÷ 2π) ÷ 2πh = r + r
(Α ÷ 2π) ÷ 2πh = 2r
((Α ÷ 2π) ÷ 2πh) ÷ 2 = 2r ÷ 2
((Α ÷ 2π) ÷ 2πh) ÷ 2 = r

Therefore r = ((Α ÷ 2π) ÷ 2πh) ÷ 2

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