2018 · Q72
What is the volume of a cone of maximum volume cut out from a cube of edge 2a such that their bases are on the same plane?
Elementary MathematicsMensuration
- Aπa³
- Bπa³/3
- C2πa³/3
- D3πa³/4
Explanation
The largest cone on the cube's base has radius a and height 2a. Its volume is (1/3)πa²(2a) = 2πa³/3, option (C).