Answer: R³ = nr³.
- A R = nr
- B R³ = nr³
- C R² = nr²
- D nR = r
Correct answer: B. R³ = nr³
Explanation: Volume is conserved on melting: (4/3)πR³ = n×(4/3)πr³. The (4/3)π cancels, giving R³=nr³. E.g. n=8, r=1 → R³=8, R=2 (checks out). Ans: R³=nr³.
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