Answer:
[tex]226.08\ in^{2}[/tex] or [tex]72\pi\ in^{2}[/tex]
Step-by-step explanation:
we know that
The lateral area of a cylinder ( curved area of the vase) is equal to
[tex]LA=2\pi rh[/tex]
we have
[tex]r=6/2=3\ in[/tex] ------> the radius is half the diameter
[tex]h=12\ in[/tex]
substitute the values
[tex]LA=2\pi (3)(12)=72\pi\ in^{2}[/tex] -----> exact value
assume
[tex]\pi=3.14[/tex]
[tex]72(3.14)=226.08\ in^{2}[/tex] ----> approximate value
