Current location - Education and Training Encyclopedia - Graduation thesis - Why is the volume of a cone one-third of that of a cylinder?
Why is the volume of a cone one-third of that of a cylinder?
According to the general volume formula, v =1/6h < above s+ and below s+>

h

Gao Wei

S Shang

Is the upper and bottom area, and the unit is S ..

Is the middle cross-sectional area.

, under s

It's the bottom area.

1. Let the radius of the cone bottom be r, then s = 1/2r? π "The connecting line between the midpoints of two sides of a triangle is equal to 65438+ 0/2 of the base"

2. Under s =πr? .

3.s =0 "The upper and lower area of the cone is 0"

Carry-in formula: v = 1/6h < 0+4× 1/2r? π+π×r? > = 1/6h = 1/3hπr? 《πr? = below s "

This is my own inference. I hope it helps you. If you don't understand anything, you can come back and ask.