CAT 2018 Geometry & Mensuration Question (Hard)

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 , the volume, in cubic ft, of the remaining part of the cone is TITA

Accepted Answer

Step 1 The original cone has height ft and base diameter ft, so radius ft. Step 2 A smaller cone is cut off by a plane parallel to the base at a height of ft from the base. Height of the smaller cone ft. By similarity of triangles, radius of smaller cone ft Step 3 Volume of original cone Step 4 Volu

CAT 2018

Quantitative

Geometry & Mensuration

Hard

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 = $\frac{22}{7}$ , the volume, in cubic ft, of the remaining part of the cone is:[TITA]

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