To find the height of a cone, we need to know the relationship between the height, the radius (or diameter), and the slant height (if relevant). However, since the provided dimensions include only the height and diameter (D=10cm), it seems there may be a misunderstanding in your request.
In a cone, height is typically designated as "h," and if you need to find "h" based on a given radius or diameter, you would need more information such as the volume, surface area, or the slant height (l).
Assuming you meant to define the diameter, we can find the radius (r):
- Diameter (D) = 10 cm
- Radius (r) = D/2 = 10 cm / 2 = 5 cm
If there's any specific formula or context (like volume or slant height) you want to apply, please provide more details! Otherwise, based on the information given, the height of the cone is already stated as 13 cm.
So, the height of the cone is 13 cm.