We are given the diagram of two cones, where we can see their dimensions.
We want to know if these two solids are similar. Similar solids have the same shape and proportional corresponding dimensions. Therefore, to determine whether the cones are similar, we will calculate the ratio between corresponding lengths.
Ratio
Substitute
Simplify
Height of the bigger cone/Height of the small cone
21/12
1.75
Radius of the bigger cone/Radius of the small cone
20/9
2.222222...
Slant height of the bigger cone/Slant height of the small cone
29/15
1.933333...
The ratios between corresponding dimensions are not the same. Therefore, the cones are not similar.
