Answer:
17576=pir^2h
the amount of material M=2pir^2 +2pirh
M=2pir^2+2pir(17576/pir^2)
DrM= 4pir- 35152/r^2
DrM=0
0=4pir- 35152/r^2
r=(13*2^(2/3))/pi^(1/3)
17576=pi((13*2^(2/3))/pi^(1/3))^2)h
17576/(pi((13*2^(2/3))/pi^(1/3))^2))=h
r=14.0901
h=28.1801
M=3742.21 cm^2
