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 in 4 steps? (hint: the final step is "take the square root of both sides h = 12 cm")
1. Use the Pythagorean Theorem to find the height of the cone:
h = sqrt((slant height)^2 - (radius)^2)
h = sqrt(13^2 - 5^2)
h = sqrt(169 - 25)
h = sqrt(144)
2. Simplify the equation:
h = sqrt(144)
h = 12
3. Therefore, the height of the cone is 12 cm.
4. Take the square root of both sides to find h: h = 12 cm.