Let V be the volume of an inverted cone with vertex at origin and the axis of the cone is along posi...........

Quantitative Aptitude (CDS) Mensuration 3D

Let V be the volume of an inverted cone with vertex at origin and the axis of the cone is along positive y-axis. The cone is filled with water up to half of its height. The volume of water is

V/8

V/6

V/3

V/2

छोटे Courses बड़े Results

Master Mensuration 3D

Prepare through Micro-courses

Try Now

Explanation:

Let r and h be the radius and height of the cone, respectively.

In ΔCOD and ΔOAB
∠COD = ∠AOB (Common)
∠OCD = ∠OAB (90° each)
∴ ΔOCD ≈ ΔOAB (AA similarity)
⇒CD/AB =OC/OA (Corresponding sides are proportional)