Answer:
37.7cm²
Step-by-step explanation:
The surface area of a cylinder is calculated using the formula below:
![SA=2\pi r(r+h)](https://img.qammunity.org/2023/formulas/mathematics/college/xw0oo0367ppaqzk6ln2kduys6d6r3hsgp8.png)
From the given figure:
• The height of the cylinder = 1cm
,
• The radius of the cylinder = 4/2 = 2cm
Therefore:
![\begin{gathered} SA=2*\pi*2(2+1) \\ =4*3*\pi \\ =12*(22)/(7) \\ =37.7\operatorname{cm}^2 \end{gathered}]()
The surface area is 37.7cm² (to the nearest tenth).