A right circular cone, of height 12 ft, stands on its base which has diameter 8 ft. The tip of the cone is cut off with a plane which is parallel to the base and 9 ft from the base. With π = 22/7, the volume, in cubic ft, of the remaining part of the cone is

Question

A right circular cone, of height 12 ft, stands on its base which has diameter 8 ft. The tip of the cone is cut off with a plane which is parallel to the base and 9 ft from the base. With &pi; = 22/7, the volume, in cubic ft, of the remaining part of the cone is

Accepted Answer

198 — âABE ~ âACD &rArr; AB AC = BE CD AB = 3 ft, AC = 12 ft and CD = 4 ft &rArr; BE = 1 ft The required volumn of the cone = 1 3 &pi; &times; 4 2 &times; 12 - 1 3 &pi; &times; 1 2 &times; 3 = 1 3 &pi; &times; ( 192 - 3 ) = 1 3 &times; 22 7 &times; 189 = 198 cubic ft. Hence, 198.

CAT 2018 Slot 1 — QA Question 20

Answer & solution