Acone has a radius of r units and a height of h units. a cylinder has a ridius of 2r units and has the same volume as the cone. what is the height of the cylinder? write and explanation of how you got your answer.

Volume of a cone is calculated as:



Volume of the cylinder is calculated as:



The radius of cylinder is twice the radius of cone. So R=2r. The two volumes are given to be equal, so we can write:

 

Thus, the height of the cylinder will be h/12

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