Final answer:
To find the total surface area of the cylinder, use the formula SA = 2πr(r + h), where r is the radius and h is the height. Substitute the given values to find the surface area.
Step-by-step explanation:
The formula for the total surface area of a cylinder is given by:
SA = 2πr(r + h)
where r is the radius and h is the height of the cylinder. In this case, the length is given as 16mm, which is equivalent to the height of the cylinder. The cylindrical area is given as 36π mm2. To find the radius, we can rearrange the formula for the cylindrical area:
r = √(Cylindrical Area / π) = √(36π / π) = 6mm
Now, we can substitute the values into the formula:
SA = 2π(6)(6 + 16) = 2π(6)(22) = 264π mm2