Answer: [tex]52\ cm,\ 176.55\ cm^2[/tex]
Step-by-step explanation:
Given
The cylinder is 20 cm high
The radius of the cylinder is [tex]r=3\ cm[/tex]
The total area of the figure is the sum of the rectangle and two circles
[tex]\Rightarrow \text{Perimeter P=}2[h+2r]\\\Rightarrow P=2[20+6]\\\Rightarrow P=52\ cm[/tex]
The total area of the figure is
[tex]\Rightarrow \text{Area A=}h\times 2r+2\pi r^2\\\Rightarrow A=20\times 6+2\times \pi \times 3^2\\\Rightarrow A=120+18\pi\\\Rightarrow A=176.55\ cm^2[/tex]