Answer: The height is 5 inches.
Step-by-step explanation:
The surface area of a cylinder uses the formula A= 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex]r^2
so as you could see in the equation there is an h in in it which re
presents the height and we know the diameter is 2 so we need to find the radius and the radius is 1 because half of 2 is 1 or half the diameter is the radius.
Now put the radius into the equation and and solve for the height and as you could see the surface area is left in terms of pi.
12[tex]\pi[/tex] = 2[tex]\pi[/tex] * 1 * h + 2[tex]\pi[/tex] * 1
12[tex]\pi[/tex]= 2[tex]\pi[/tex] * h + 2[tex]\pi[/tex]
-2[tex]\pi[/tex] 2[tex]\pi[/tex]
10[tex]\pi[/tex] = 2[tex]\pi[/tex]h
h =5
