If two figures are similar, the ratio of their corresponding sides are equal
Let us take the ratio of the radius to the height of the given cylinder. This gives us,
[tex]\frac{radius}{height}=\frac{2.8}{2.4}[/tex]
In the simplest form, we have,
[tex]\frac{radius}{height}=\frac{7}{6}[/tex]
Let us now find out which of the cylinders in the option has the same ratio,
For option A,
[tex]\frac{radius}{height}=\frac{1.8}{1.4}[/tex]
In the simplest form, we have,
[tex]\frac{radius}{height}=\frac{9}{7}[/tex]
For option B,
[tex]\frac{radius}{height}=\frac{1.4}{1.2}[/tex]
In the simplest form, we have,
[tex]\frac{radius}{height}=\frac{7}{6}[/tex]
For option C,
[tex]\frac{radius}{height}=\frac{5.6}{4.2}[/tex]
In the simplest form, we have,
[tex]\frac{radius}{height}=\frac{4}{3}[/tex]
For option D,
[tex]\frac{radius}{height}=\frac{2.4}{2.8}[/tex]
In the simplest form, we have,
[tex]\frac{radius}{height}=\frac{6}{7}[/tex]
Hence the correct answer is B
