Verified Answer :

U=π(r+h)
r+h=U/π
r=U/π  - h

Data: 
U=16  1/2=16  +  1/2=(162+1)/2=33/2
h=2
π=22/7

Then: 
r=U/π  - h
r=(33/2)/(22/7)   -   2
r=(33
7)/(222)   -   2
r=231 /44   -   2
r=(231-2
44)/ 44
r=(231-88)/44
r=143/44   =   (3*44  + 11)/44=3  11/44

Answer: r=143/44      or    3  11/44

U =  π* (r + h )   [ : π

\(\frac{U}{ \pi } = r + h \\ \\ r = \frac{U}{ \pi } - h \\ \\ r = \frac{16,5}{ \pi } - 2 \\ \\ r = \frac{165}{10} : \frac{22}{7} - 2 \\ \\ r = \frac{33}{2} * \frac{7}{22} - 2 \\ \\ r = \frac{3}{2} * \frac{7}{2} - 2 \\ \\ r = \frac{21}{4} - 2 = 5,25 - 2 = 3.25 Answer r = 3,25\)