A cylindrical tank, with radius and height both of 10 feet, is to be redesigned as a cone, capable of holding twice the volume of the cylindrical tank. There are two proposed scenarios for the new cone: in scenario
(1) the radius will remain the same as that of the original cylindrical tank, in scenario
(2) the height will remain the same as that of the original cylindrical tank.
What is the approximate difference in feet between the new height of the cone in scenario (1) and the new radius of the cone in scenario (2)?
(The formula for the volume of a cone is V = 1/3 pi r^2 h).
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