The volume of a cylinder is equal to πr²h, or the area of a parallel cross-section times the height of the cylinder.
We are given the diameter, 11, the height, 14, and we can assume π = 3.14, as is the standard. We know that r is equal to 1/2 the diameter, so we can solve from here.
v = πr²h
v = 3.14(11/2)²(14)
v = 3.14(5.5)²(14)
v = 3.14(30.25)(14)
v = 94.985(14)
v = 1329.79
The volume of the cylinder rounded to one decimal place is 1329.8cm³.