Question 1141975: the volume of a right circular cone is 5 litres. calculate the volume 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 answer to the nearest ml
Answer by greenestamps(13208)   (Show Source):
You can put this solution on YOUR website!
The volume of the original cone is 5 liters, or 5000 ml.
When the cone is cut by a plane parallel to the base, 1/3 of the way down from the vertex, the small cone produced is similar to the original cone, with a height 1/3 the height of the original cone.
Then, since the two cones are similar, the volume of the small cone is (1/3)^3 = 1/27 the volume of the original cone.
So the volumes of the two pieces are 1/27 of 5000 ml and 26/27 of 5000 ml.
You can do the calculations and rounding necessary to answer the question.
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