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a right circular cone is divided by a plane parallel to its base into 2 equal volumes .in what ratio will the plane divide the axis of the cone?
Let the height and the radius of whole cone be H  and R respectively.
The cone is divided into two parts by drawing a plane through the mid point of its height and parallel to the base.

Let the radius of the smaller cone be r cm.
In ?OCD and ?OAB,
?OCD = ?OAB  (90°)
?COD = ?AOB  (Common)
??OCD ? ?OAB  (AA Similarity criterion)

? R = 2r


Thus, the ratio of smaller cone to whole cone is 1 : 8.