263.76 cm is the minimum amount of paper she will need to wrap the entire container.
<u>Step-by-step explanation:</u>
As we know that the equation for surface area of a cylinder,
Surface area of cylinder = 
Where,
r - the radius of the cylinder. Here given diameter (D) as 6. So,

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

A = 56.52+ 207.24 = 263.76 cm