To find the height of the cone, you can use the Pythagorean theorem.
Step 1: Identify the slant height (l), radius (r), and height (h) of the cone.
Given: l = 13 cm, r = 5 cm
Step 2: Use the Pythagorean theorem to set up an equation relating the slant height, radius, and height of the cone.
l^2 = r^2 + h^2
Step 3: Substitute the given values to the equation.
(13)^2 = (5)^2 + h^2
169 = 25 + h^2
144 = h^2
Step 4: Solve for h by taking the square root of both sides.
sqrt(144) = sqrt(h^2)
12 = h
Therefore, the height of the cone is 12 cm.
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?
and what would be the steps
1 answer