Answer: √(6/π).
- A √(π/6)
- B √(6/π)
- C 6/π
- D π/6
Correct answer: B. √(6/π)
Explanation: Setting 4πr² = 6a² and forming the volume ratio gives √(6/π).
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