nsolorzano61181 nsolorzano61181
  • 02-05-2018
  • Mathematics
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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 of the square base of the pyramid?

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popalabdulqayou
popalabdulqayou popalabdulqayou
  • 05-05-2018
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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