Question

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

(p.s. the pic is the awnser choices)

also if you can awnser this xan you awnser it asap im currently taking a test thanks :)​

Answer 1

option 2 with radius of 1.4 in, and height of 1.2 in.

Explanation:

If two cylinders are similar, the ratio of one cylinder's radius to its height must be the same as that of the other.

To know which cylinder is similar to the given cylinder with radius 2.8 in and height of 2.4 in, find the ratio, and compare with the ratio of the options provided. The option with the same ratio, is the cylinder that is similar.

This,

The given cylinder => radius : height =
`(2.8)/(2.4) = (0.7)/(0.6) = (7)/(6)`

First option:

Radius : height =
`(1.8)/(1.4) = (0.9)/(0.7) = (9)/(7)`

Second option:

Radius : height =
`(1.4)/(1.2) = (0.7)/(0.6) = (7)/(6)`

Third option:

Radius : height =
`(5.6)/(4.2) = (0.8)/(0.6) = (0.4)/(0.3) = (4)/(3)`

Fourth option:

Radius : height =
`(2.4)/(2.8) = (0.6)/(0.7) = (6)/(7)`

The correct option with the cylinder that is similar with the given cylinder is option 2 with radius of 1.4 in, and height of 1.2 in.