Find the area of the surface obtained by rotating the curve of parametric

Question

x=3t-(3/3)t^3
y=3t^2
0<=t<=1

what is the surface area

Answer 1

I am confused about the (3/3) term. Since it equals 1, why is it there at all?

You don't say what axis the parametric curve is being rotated about.

Answer 2

it is rotated about the x-axis