The surface area would be the two base areas and then the circumference of the circle times the height of the cylinder
Let’s find the area of the circles
Formula: pi r^2 where we substitute 3.14 for pi
6 is the diameter so divide by 2 to get radius
Let’s plug in some values
(3.14) (3)^2
Exponents
(3.14) (9)
Multiply
28.26
Multiply this by two since the cylinder has two circle bases
28.26 *2
56.52
Get the circumference
C = pi d with 3.14 substituting for pi
(3.14) (6) = 18.84
Multiply this by the height
18.84 * 5 = 94.2
Add all the values
56.52 + 94.2
150.72 should be the surface area.
