SOLUTION: A circular piece of paper has a radius of 15 in, which is cut off at a 90 degree angle. (It's hard for me to say, but it's basically a circle and an L-shape is cut from it) The rem

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A circular piece of paper has a radius of 15 in, which is cut off at a 90 degree angle. (It's hard for me to say, but it's basically a circle and an L-shape is cut from it) The rem      Log On

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Question 590505: A circular piece of paper has a radius of 15 in, which is cut off at a 90 degree angle. (It's hard for me to say, but it's basically a circle and an L-shape is cut from it) The remaining circumference forms the bases of a cone. What is the radius of the cone?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the circumference of the cone is 3/4 the circumference of the original circle, so the radius will also be 3/4 of the circle radius

circumference of circle ___ c = 2 * pi * r ___ 2 * pi * 15 ___ 30 pi

circumference of cone is 3/4 of circle ___ (3/4) * 30 pi ___ 22.5 pi

radius of cone ___ r = c / (2 pi) ___ 22.5 pi / 2 pi ___ 11.25