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 3 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
-
No one is replied to this question yet. Be first to reply!
