False
Explanation:
According to the question,
When one cylinder is placed over another, the base of first cylinder and top of other cylinder will not be covered in total surface area.
We know that,
Total surface area of cylinder = 2πrh + 2πr2h, where r = base radius and h = height
Total surface area of shape formed = 2(Total surface of single cylinder) – 2(Area of base of cylinder)
= 2(2πrh + 2πr2) – 2(πr2)
= 4πrh + 2πr2