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,

`(radius)/(height)=(2.8)/(2.4)`

In the simplest form, we have,

`(radius)/(height)=(7)/(6)`

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

For option A,

`(radius)/(height)=(1.8)/(1.4)`

In the simplest form, we have,

`(radius)/(height)=(9)/(7)`

For option B,

`(radius)/(height)=(1.4)/(1.2)`

In the simplest form, we have,

`(radius)/(height)=(7)/(6)`

For option C,

`(radius)/(height)=(5.6)/(4.2)`

In the simplest form, we have,

`(radius)/(height)=(4)/(3)`

For option D,

`(radius)/(height)=(2.4)/(2.8)`

In the simplest form, we have,

`(radius)/(height)=(6)/(7)`

Hence the correct answer is B