Question

A cylinder has a radius of 2.8 inches and a height of 2.4 inches. Which cylinder is similar?

Answer 1

B. It’s just simplified.

Answer 2

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,

$\frac{radius}{height}=\frac{2.8}{2.4}$

In the simplest form, we have,

$\frac{radius}{height}=\frac{7}{6}$

Let us now find out which of the cylinders in the option has the same ratio,

For option A,

$\frac{radius}{height}=\frac{1.8}{1.4}$

In the simplest form, we have,

$\frac{radius}{height}=\frac{9}{7}$

For option B,

$\frac{radius}{height}=\frac{1.4}{1.2}$

In the simplest form, we have,

$\frac{radius}{height}=\frac{7}{6}$

For option C,

$\frac{radius}{height}=\frac{5.6}{4.2}$

In the simplest form, we have,

$\frac{radius}{height}=\frac{4}{3}$

For option D,

$\frac{radius}{height}=\frac{2.4}{2.8}$

In the simplest form, we have,

$\frac{radius}{height}=\frac{6}{7}$

Hence the correct answer is B