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252π

Step-by-step explanation:

The formula of surface area of a cylinder is A=2πrh+2πr^2

You know that the radius is 6 because the diameter that is given is 12. The radius is half of the diameter.

The height is also given (15).

Now you just have to substitute the values into the equation.

area = 2π(6)(15)+2π(6)^2

= 2π(90)+2π(36)         <multiply everything out

= (180)π+ (72)π           <multiply by 2

= (252) π                     < just combine like terms

a reflection across the x axis and a 90 degree rotation left and right.