Find the surface area of a cylinder with a height of 25 inches and a
radius of 8 inches. Round to the nearest hundredth.

Hello.

Here are the relevant formulae:

Cylinder
Surface Area = Lateral Area + 2 (Base Area)
Lateral Area = Cbh
Circumference Base ( Cb ) = 2 (pi) r
Base Area = (pi) r^2 
http://microgeometry.netfirms.com/content/solidcylinder.html

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So... 

Base Area = (pi) r^2
          = pi 8^2
          = 64pi
          = 201.06 square inches


Circumference Base ( Cb ) = 2 (pi) r
                     Cb   = 2 (pi)8
                     Cb   = 16pi
                     Cb   = 50.265 inches

Lateral Area = Cb(h)
             = 50.265 inches x 25 inches
             = 1256.64 square inches


Thus...

Surface Area = Lateral Area + 2 (Base Area)
             = 1256.64 sq in + 2 (201.06 sq in)
             = 1256.64 sq in + 402.12 sq in
             = 1658.76 square inches

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search strategy:
cylinder surface area

I hope this helps.