SOLUTION: what is the volume of a cone who's circumfrance is 12mm and height is 16mm

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Question 74018: what is the volume of a cone who's circumfrance is 12mm and height is 16mm
Answer by Earlsdon(6098) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a right circular cone is given by:
V+=+%281%2F3%29%28pi%29r%5E2h where: r = the radius of the circular base and h is the height of the cone.
In your problem, since you are not given the radius, you need to calculate it from the the given circumference of C = 12mm
C+=+%28pi%29D Where D is the diameter and D = 2r, so...
C+=+2%28pi%29r Solving for r, we get:
r+=+C%2F2%28pi%29
Using %28pi%29+=+3.14 as an approximation, we can find the volume of the cone:
V+=+%281%2F3%29%28pi%29%28C%2F2%28pi%29%29%5E2h Simplifying this...
V+=+%281%2F3%29%28C%5E2%2F4%28pi%29%29h Substitute the values for C = 12mm, h = 16mm, and %28pi%29+=+3.14
V+=+%281%2F3%29%2812%5E2%2F4%283.14%29%2916 Evaluate this...
V+=+%281%2F3%29%28144%2F12.56%2916
V+=+768%2F12.56
V+=+61.15Cu.mm.