The area of the label would be 52.5π cm², or 164.85 cm².
The information we're given is the area of the circular base and the height. We know that the formula for the area of a circle is A=πr². Using this we have:
9π=πr²
Divide both sides by π:
9π/π = πr²/π
9=r²
Take the square root of both sides:
√9 = √r²
3 = r
The length of the label will be the circumference of the circle. The formula for circumference is C=πd, and we know that d = 2r, so we have:
C=π(2*3)
C=6π
Now we have both dimensions of the label:
A=l*w
A=6π*8.75=52.5 cm²
If you use 3.14 for π, you get 164.85 cm²
