Answer:
[tex]Area=[2(3)(14)+2(3)^2]\pi [/tex]
.
Step-by-step explanation:
From the given figure it is clear that
Height of the cylinder: [tex]h=14\text{ cm}[/tex]
Diameter of the cylinder: [tex]d=6\text{ cm}[/tex]
Radius of the cylinder: [tex]r=\frac{d}{2}=\frac{6}{2}=3\text{ cm}[/tex]
We know that,
[tex]Area=2\pi rh+2\pi r^2[/tex]
Substitute r=3 and h=14 in the above formula.
[tex]Area=2\pi (3)(14)+2\pi (3)^2[/tex]
[tex]Area=[2(3)(14)+2(3)^2]\pi [/tex]
Therefore, the required equation is [tex]Area=[2(3)(14)+2(3)^2]\pi [/tex]
.
