Find the length of the height of the cone 13 cm. d=10 cm
To find the length of the height of the cone, we can use the Pythagorean theorem.
The radius (r) of the cone is half of the diameter, so r = 10/2 = 5 cm.
Let h be the height of the cone. We can create a right triangle with the radius (r), height (h), and slant height (l) of the cone as the three sides.
Using the Pythagorean theorem, we have:
r^2 + h^2 = l^2
5^2 + h^2 = 13^2
25 + h^2 = 169
h^2 = 169 - 25
h^2 = 144
h = √144
h = 12
Therefore, the length of the height of the cone is 12 cm.