The formula for the surface area of a cylinder is: A=2pirh+2pir^2

2*pi*r*h +2*pi*r^2= 200

2*pi*r*10 + 2*pi*r ^2=200

20*pi*r +2*pi*r^2= 200

6.28*r^2+62.85*r-200=0

Solving this quadratic equation using

Roots are = (-b+-sqrt(b^2-4ac))/2a

r= 2.53 inches

So, radius = 2.53 inches

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