For this case we have that by definition, the surface area of a cylinder is given by:
[tex]SA = 2 \pi * r * h + 2 \pi * r ^ 2[/tex]
Where:
r: It's the radio
h: It's the height
Substituting according to the data we have:
[tex]SA = 2 \pi * (38) * (51) +2 \pi * (38) ^ 2\\SA = 2 \pi * 1938 + 2 \pi * 1444\\SA = 3876 \pi + 2888 \pi\\SA = 6764 \pi[/tex]
Thus, the surface area of the cylinder is [tex]6764 \pi \ mm ^ 2[/tex]
Answer:
[tex]6764 \pi \ mm ^ 2[/tex]
