The sum of the height and the radius of the base of cylinder is 34cm. If the total surface area of the cylinder is 2.992cm^3. Find radius

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0.014 cm .

Step-by-step explanation:

I am assuming that it is a closed cylinder whose total surface area.

Area = 2πrh + 2πr^2

Let the radius be r and the height h,  then we have the equations:

r + h = 34

2πrh + 2πr^2  = 2.992

From the first equation  h = 34 - r, so substituting for h:

2πr( 34 - r) + 2πr^2 = 2.992

2πr^2 + 68πr - 2πr^2 = 2.992

68πr = 2.992

r = 2.992 / 68π

r = 0.014

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