A cylinder has a circumference of 12pie cm and a height that is half the radius. What is the total surface area of the cylinder

Respuesta :

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]

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