Question

3. The roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The slant height of the roof, which is unknown, is the hypotenuse of the right triangle formed with the radius and the height of the cone. (a) Sketch the roof of the castle tower. Label the known lengths as described AND label the unknown length as x. (b) What is the slant height of the roof? SHOW YOUR WORK!

Answer 1

Well, to start off, you must find the radius. In this case, the radius is 12 m.
Next, you must use the Pythagorean theorem.
The theorem state a^2 + b^2 = c^2
When calculated, we get 12^2 + 16^2 = 20^2

Your answer is 20