Is it really Geometry?
A right circular cone has a base with radius that is equal to the arithmetic average of the cone's height and generatrix. Given that the volume of the cone is 128π m³ , what is the value, in meters, of the base's radius and the height of the cone, respectively?
Note : this problem was not created by me. It is from the Technological Institute of Aeronautics (in Portuguese, Instituto Tecnológico de Aeronáutica , ITA ).
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