Solution
For this case we can find the volume of each options and verify:
Case I
[tex]V=\pi\cdot(2)^2(4.1)=51.52[/tex]Case II
[tex]V=\pi\cdot(2.2)^2(3.2)=48.66[/tex]Case III
[tex]V=\pi\cdot(2.5)^2(2.7)=53.01[/tex]Case IV
[tex]V=\pi\cdot(2.1)^2(3.8)=52.64[/tex]Then the answer would be:
Case I: radius = 2cm and height = 4.1 cm
Case III: radius = 2.5 cm and height = 2.7 cm
Case IV: radius = 2.1 cm and height = 3.8 cm