



 
Hi, It is difficult to give an intuitive answer to your question. The modern proof that the volume of a cone is $\frac13 \times \mbox{ area of the base} \times \mbox{ height}$ is by using calculus. You can take the essence of the calculus proof and present it without using calculus. That's what Dr. Rob did on the Math Forum site. In fact the volume of a cone is $\frac13 \times \mbox{ area of the base} \times \mbox{ height}$ follows from a much more general result.
Penny  


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