find the length of the height of the cone 13cm d=10 cm
To find the height of the cone, we can use the Pythagorean theorem.
Given:
- Diameter (d) = 10 cm
- Radius (r) = d/2 = 10/2 = 5 cm
- Slant height (l) = 13 cm
Using the Pythagorean theorem:
l^2 = r^2 + h^2
13^2 = 5^2 + h^2
169 = 25 + h^2
h^2 = 169 - 25
h^2 = 144
h = √144
h = 12 cm
Therefore, the height of the cone is 12 cm.