Find the length of the height of the cone.
13cm
d=10 cm
To find the length of the height of the cone, you can use the Pythagorean theorem. The diameter (d) of the cone is given as 10 cm. The radius (r) of the cone is half of the diameter, so it is 10/2 = 5 cm.
Using the Pythagorean theorem, you can write the equation as:
h^2 = r^2 + 13^2
h^2 = 5^2 + 13^2
h^2 = 25 + 169
h^2 = 194
Now, take the square root of both sides to find h:
h = √194
h ≈ 13.928 cm
Therefore, the length of the height of the cone is approximately 13.928 cm.