Small cone cut off a cone by a plane parallel to the base with a given fraction of volume: find the height of the cut
The same question, asked 2 times: CDS 2 2016*, CDS 2 2022. Every wording below, oldest first.
Try each one first, then open its answer.
Question 1
CDS 2 2016
58The height of a cone is 60 cm. A small cone is cut off at the top by a plane parallel to the base and its volume is the volume of original cone. What is the height from the base at which the section is made ?Tap an option to check your answer.
Question 2
CDS 2 2022
81The height of a cone is 30 cm. A small cone is cut off at the top by a plane parallel to its base. If its volume is of the volume of the given cone, then what is the height of the frustum of the cone ?Tap an option to check your answer.