2024 · Q92
The section of a solid right circular cone by a plane containing vertex and perpendicular to base is an equilateral triangle of side 14 cm . What is the volume of the cone? ≤ft(π=22/7)
Elementary MathematicsMensuration
- A10783 cubic cm
- B10783 cubic cm
- C5393 cubic cm
- D5393 cubic cm
Explanation
The axial section is equilateral of side 14, so diameter = 14 (r = 7) and height = 7√3. Volume = (1/3)π×49×7√3 = 1078√3/3 ≈ 622.4 cubic cm with π = 22/7. (The stored option labels are duplicated/garbled — A/B and C/D identical — but both answer keys mark option B.) This is option B.