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

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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) About Me  (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  %282%2F5%29%5E3%2AV = %288%2F125%29%2AV.


The volume of the frustum of the cone is the difference %28117%2F125%29%2AV.


Finally, the ratio under the question is  117%2F125.    ANSWER