A cone and a pyramid have the same height and same volume. If the radius of the base of the cone is r, what is the side length o
f the square base of the pyramid?
1 answer:
Let Vc : cone's volume, Vp : pyramid's Volume, r radius, h height. w width and l length.
Vc=πr²h/3
Vp=(lwh)/3
make it equal to each other and cancel out the 3.
πr²h = lwh
heights will cancel out
πr²=lw
l=(πr²)/w
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