SOLUTION: A cone-shaped funnel has a height of 9cm and a rim with circumference 12pi cm. What is the volume of the funnel?

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Question 307664: A cone-shaped funnel has a height of 9cm and a rim with circumference 12pi cm. What is the volume of the funnel?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
C= 12pi cm
C=pi%2Ad, so diameter is 12, and the radius is 6 cm.

V=%281%2F3%29%2Api%2Ar%5E2%2Ah
V=%281%2F3%29%2Api%2A6%5E2%2A9+
V=%281%2F3%29%2A36%2A9%2Api
V=12%2A9%2Api=108%2A+pi+ cubic cm.

For additional help on this topic, please see my own website. Please go to "www2.seminolestate.edu/rrapalje". Look for the link near the bottom of my Homepage "Topics from Geometry". Several pages relate to volumes of geometric shapes.

I think you will find the explanations easier to understand than traditional textbooks. My own students did!!

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus