SOLUTION: The volume of a right circular cone is 5 litres. Calculate the volumes of the two parts into which the cone is divided by a plane parallel to the base, one-third of the way down fr

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Question 1159460: The volume of a right circular cone is 5 litres. Calculate the volumes of the two parts into which the cone is divided by a plane parallel to the base, one-third of the way down from the vertex to the base. Give your answers to the nearest ml.
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
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The smaller cone is similar shape to the larger cone, and the similarity coefficient is  1:3.


It means that the volume of the smaller cone is %281%2F3%29%5E3 = 1%2F27  of the volume of the larger cone.


ANSWER.  The volume of the smaller cone is  5%2F27 of a liter,  or  0.185 of a liter = 185 mL.

Solved.