SOLUTION: a paper cone is unfolded to reveal that is is formed using a sector of a circle with radius 3 inches. if the arc length around the top of the cone is 7.7 inches, what is the surfac

Algebra ->  Surface-area -> SOLUTION: a paper cone is unfolded to reveal that is is formed using a sector of a circle with radius 3 inches. if the arc length around the top of the cone is 7.7 inches, what is the surfac      Log On


   



Question 986753: a paper cone is unfolded to reveal that is is formed using a sector of a circle with radius 3 inches. if the arc length around the top of the cone is 7.7 inches, what is the surface area of the outside of the cone?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Compare the arc length to the circumference of the whole circle (although only a sector is available).

2pi%2A3=6pi, the full circumference.
Full circle area WOULD be pi%2A%283%29%5E2=9pi.

Your sector's area is %287.7%2F%286pi%29%299pi
highlight%28%287.7%293pi%2F2%29.