To find the length of the height of the cone, we can use the Pythagorean theorem.
First, we need to find the slant height of the cone. This can be found using the formula for the slant height of a cone: s = √(r^2 + h^2), where r is the radius and h is the height of the cone.
Given that the radius (r) is half of the diameter, which is 10 cm, r = 5 cm.
Substitute the values into the formula:
s = √(5^2 + h^2)
13 = √(25 + h^2)
169 = 25 + h^2
144 = h^2
So, the height of the cone (h) is √144 = 12 cm.
Therefore, the length of the height of the cone is 12 cm.
Use the image to answer the question
13 cm
d = 10cm
Find the length of the height of the cone.
1 answer
1 answer