SOLUTION: Suppose the net shown at the right is turned into a cone. (It's just a regular net of a cone). The arc degree is 120 degrees and the length of the slant height is 10mm. The circumf

Algebra ->  Surface-area -> SOLUTION: Suppose the net shown at the right is turned into a cone. (It's just a regular net of a cone). The arc degree is 120 degrees and the length of the slant height is 10mm. The circumf      Log On


   



Question 956160: Suppose the net shown at the right is turned into a cone. (It's just a regular net of a cone). The arc degree is 120 degrees and the length of the slant height is 10mm. The circumference of the base is 20.944 mm. Calculate the altitude of the cone. I thought all I had to do was do the Pythagorean Theorem to find the height, but if the slant height and the radius are both 10 cm, won't the height just be 0? Or am I missing something? I'm not quite sure. The answer is 9.428 mm. Thank you!!!!
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
If the circumference of the base is 20.944mm, the radius is 20.944mm%2F2%28pi%29=3.333mm,
the height=square root of slant height squared-radius squared=
sqrt%2810%5E2mm%5E2-3.333%5E2mm%5E2%29=sqrt%28100mm%5E2-11.109mm%5E2%29=9.428mm