The cylindrical can with the largest volume will be given by the following option:
C 3 inches 4 inches.
What is the volume of a cylinder?
The volume of a cylinder of radius r and height h is given by:
[tex]V = \pi r^2h[/tex]
In item a, we have that r = 2 in and h = 6 in, hence the volume in in² is given by:
[tex]V = \pi r^2 h = \pi \times 2^2 \times 6 = 24\pi[/tex]
In item b, we have that r = 2.5 in and h = 5 in, hence the volume in in² is given by:
[tex]V = \pi r^2 h = \pi \times 2.5^2 \times 5 = 31.25\pi[/tex]
In item c, we have that r = 3 in and h = 4 in, hence the volume in in² is given by:
[tex]V = \pi r^2 h = \pi \times 3^2 \times 4 = 36\pi[/tex]
In item d, we have that r = 3.2 in and h = 3 in, hence the volume in in² is given by:
[tex]V = \pi r^2 h = \pi \times 3.2^2 \times 3 = 30.72\pi[/tex]
Hence option C gives the largest volume.
More can be learned about the volume of a cylinder at https://brainly.com/question/9408912
