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?
(4 points)
Step 1
Step 2
Step 3
Step 4
Step 1: Use the Pythagorean theorem to find the height of the cone.
Step 2: The slant height, radius, and height form a right triangle in which the slant height is the hypotenuse, the radius is one leg, and the height is the other leg.
Step 3: The Pythagorean theorem states that a^2 + b^2 = c^2, where a and b are the legs of the triangle, and c is the hypotenuse.
Step 4: Substitute the known values: (5)^2 + h^2 = (13)^2, solve for h by rearranging the equation to find the height h.