Chapter 12.5, Problem 1WE

To determine

Tocheck:Whether the cones are similar or not.

Answer to Problem 1WE

Yes, both the cones are similar.

Explanation of Solution

Given information:

The radius of two cones are $6\text{cm}$ , $9\text{cm}$ and the heights are $10\text{cm}$ , $15\text{cm}$ respectively.

The radius of the first cone is $6\text{cm}$ and the radius of second cone is $9\text{cm}$ . So, the ratio of the radius of first cone to the radius of second cone is:

  $6:9=2:3$

The height of the first cone is $10\text{cm}$ and the height of second cone is $15\text{cm}$ . So, the ratio of the height of first cone to the height of second cone is:

  $10:15=2:3$

The ratio of the radius of both the cones is equal to the ratio of heights of both the cones.

Therefore, both the cones are similar.