If you knew that the slant height of the cone = 13 cm, and the radius of the cone = 5 cm, how would you find the height of the cone?
To find the height of the cone, you can use the Pythagorean theorem.
The slant height (l), height (h), and radius (r) form a right triangle, where l is the hypotenuse.
Using the Pythagorean theorem, you can set up the following equation:
l^2 = r^2 + h^2
Given that l = 13 cm and r = 5 cm, plug in these values and solve for h:
13^2 = 5^2 + h^2
169 = 25 + h^2
144 = h^2
h = √144
h = 12 cm
Therefore, the height of the cone is 12 cm.