A cone of radius 10cm is divided into two parts by a plane parallel to its base through the midpoint of its height. Compare the volume of the two parts.
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Answers
Answer:
1:7
Step-by-step explanation:
let the height of the cone be 2h
volume of the cone=1/3 pi r^2 2h
ie 2/3 pi r^2 h
if the cone is divided by a plane parallel to its base passing through the midpoint of its height; then the radius of the smaller cone will be r/2
this can be found out by considering the face of cone as a triangle and applying the similarity criterion
thus the volume of the smaller cone can be found out
the volume of the remaining part can be found out by subtracting this volume by the initial volume of the cone
Here is your answer.
Hope it helps you....
We have to just compare the volumes .
So the volume of frustum is seven times larger than the volume of the cone.
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