SOLUTION: The semicircle is folded to form a right circular cone so that the arc PQ=10cm becomes the circumference of the base. Find the diameter of the base. Please explain elaborately:

Algebra ->  Surface-area -> SOLUTION: The semicircle is folded to form a right circular cone so that the arc PQ=10cm becomes the circumference of the base. Find the diameter of the base. Please explain elaborately:      Log On


   



Question 610167: The semicircle is folded to form a right circular cone so that the arc PQ=10cm becomes the circumference of the base.
Find the diameter of the base.
Please explain elaborately:

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The arc PQ forms the circumference of the circlular base of the cone.
The circumference (C) of a circle is given by:
C+=+%28pi%29D Where D is the diameter and C+=+10cm. Solve this for D:
10+=+%28pi%29D Solve for D.
D+=+10%2Fpi