Answer: 32π/3.
- A 12π
- B 32π/3
- C 36π
- D 16π
Correct answer: B. 32π/3
Explanation: Maximum cone volume = (8/27) of the sphere's volume = (8/27)(4/3·π·27) = 32π/3.
Three standard 3D solids and their key formulas: a cylinder's volume scales with the full height, a cone's volume is exactly one-third of the cylinder with the same base and height, and a sphere's volume and surface area both follow distinct r-based formulas worth memorising separately.
Concept context
Perimeters, areas, and volumes of 2D and 3D shapes