SOLUTION: A plane is passed parallel to the base of a right circular cone. The distance from the vertex to this plane is two-fifths the altitude of the cone. What is the ratio of the volume

Question 1136408: A plane is passed parallel to the base of a right circular cone. The distance from the vertex to this plane is two-fifths the altitude of the cone. What is the ratio of the volume of the frustum to the volume of the cone.
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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Let the volume of the large cone be V.


Then the volume of the small cone is   = .


The volume of the frustum of the cone is the difference .


Finally, the ratio under the question is  .    ANSWER

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