To find the length of the height of the cone, we can use the Pythagorean theorem.
The diameter (d) of the cone is 10 cm, and the radius (r) is half of the diameter, which is 5 cm.
Next, we can draw a right triangle with the height (h), the radius (r), and the slant height (l) as its sides.
According to the Pythagorean theorem, we have:
h^2 + r^2 = l^2
Substituting the given values, we get:
h^2 + 5^2 = 13^2
h^2 + 25 = 169
Subtracting 25 from both sides, we have:
h^2 = 144
Taking the square root of both sides, we get:
h = √144
h = 12 cm
Therefore, the length of the height of the cone is 12 cm.
Find the length of the height of the cone.
l = 13 cm
d = 10 cm
1 answer
1 answer