Asked by Brandi

I know when you decrease the height of a cone by half that the volume decreases by half from plugging in the numbers in the formula. However, I don't how to explain in words why a decrease in height by half results in a decrease in the volume by half.
Thanks..
Answered by 111
The left part equals to the right part from the formula. If you increase or decrease left(right) part the same happens to the other part.
Answered by Steve
original area: a = 1/3 pi r^2 h
new area, using half the height is
1/3 pi r^2 (h/2) = (1/3 pi r^2 h)/2 = a/2
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