Ok, so
Let's see that the area of surface 1 is given by 4 pi r1^2 = 16pi.
If we solve the equation, we find that r1 is equal to 2.
Then, the relation between two radius is 2:7, so, r1/r2 is equal to 2/7 and r1=2, so r2=7.
Then, the surface area or larger cylinder will be:
S2 = 4 pi r2^2
If we replace r2, we obtain:
S2 = 4 pi (49), and this is 196 pi ft^2,
The answer has to be expressed in numbers rounded to the nearest tenth, so, 196 pi is equal to 615,7 ft^2, which is the answer.