CAT 2020 Question Paper | CAT Verbal Ability Slot 1
Question :

A solid right circular cone of height 27 cm is cut into two pieces along a plane parallel to its base at a height of 18 cm from the base. If the difference in volume of the two pieces is 225 cc, the volume, in cc, of the original cone is

Started 10 months ago by Shashank in

Option D is the correct answer.

Explanatory Answer

Height of Cone = 27 cm 
The Larger cone after passing a plane has a smaller cone with height 9 cm (27-18) 
The heights are in the ratio 9 : 27 or 1 : 3 
Volumes will be in ratio of (Height) 3 
Volume of smaller cone : Volume of whole cone à 1 : 27 
Volume of remaining cone = 27x – 1x = 26x 
26x – x = 225cc 
x = 9cc 
Volume of original cone = 27*9 = 243 cc

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