Answer:
Total surface area of the cylinder=[tex]339.12cm^2[/tex]
Step-by-step explanation:
Circumference of the cylinder= [tex]12\pi[/tex]
[tex]2*\pi *r=12*\pi[/tex]
[tex]r=12/2=6 cm[/tex]
Height of the cylinder =radius/2=3 cm
Total surface area of the cylinder =[tex]2\pi rh+2\pi r^2[/tex]
As, [tex]\pi =\frac{22}{7}=3.14\\[/tex]
Area of the cylinder:
[tex](2*3.14*6*3)+(2*3.14*6*6)\\\\=(3.14*36)+(3.14*72)\\\\=113.04+226.08\\\\=339.12cm^2[/tex]
The total surface area of the cylinder= [tex]339.12cm^2[/tex]