Finding the Volume of Cones and Cylinders Using Known Values

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The discussion revolves around finding the volumes of cones and cylinders using known values. The volume formulas for both shapes are provided, with the cone's volume being one-third that of the cylinder when they share the same radius and height. Participants express confusion about how to derive the radius and height from the volume alone, leading to a deeper exploration of the equations. Ultimately, it is clarified that multiplying the cone's volume by three yields the cylinder's volume, confirming that the cylinder's volume is 360 and the cone's volume is 120. The conversation emphasizes the relationship between the two shapes and the importance of understanding their volume equations.
  • #31
I was just reading over a lesson and i found this "Similar to the relationship between the prism and the pyramid, the volume of three cones fits into a cylinder with the same radius and height.", If I am correct that's stating that 360 is the volume of the cylinder and 120 is the volume of the cone. I think that might be right ;3

In short 360 = volume of cylinder and 120 = volume of cones.
 
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  • #32
Write all equations and information to one equation system and think, if you can mathematically solve this for Vsilinder.
 

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