2025 · Q70
Consider the following for the next two items that follow: The angle at the vertex of a conical body is 120°. If the sum of slant height, height and radius is (9 + 3√3) cm, then what is the volume of the cone?
Elementary MathematicsMensuration
- A27π cubic cm
- B18√3π cubic cm
- C24π cubic cm
- D27√3π cubic cm
Explanation
l(1 + √3/2 + 1/2) = 9 + 3√3 gives l = 6, r = 3√3, h = 3. Volume = (1/3)π(3√3)²(3) = 27π, option (a).