263.76 cm is the minimum amount of paper she will need to wrap the entire container.
Step-by-step explanation:
As we know that the equation for surface area of a cylinder,
Surface area of cylinder = [tex]2\pi r^{2}+2 \pi r h[/tex]
Where,
r - the radius of the cylinder. Here given diameter (D) as 6. So,
[tex]r=\frac{D}{2}=\frac{6}{2}=3 \mathrm{cm}[/tex]
h - the height of the cylinder (given as 11 cm). The value for pi = 3.14. Now, calculate the surface area of the cylinder as
[tex]A=2(3.14)(3)^{2}+2(3.14)(3)(11)[/tex]
A = 56.52+ 207.24 = 263.76 cm
