一个正方体和球的表面积相等 求体积比

6a² = 4πR²
a²/R² = 2π/3
a/R = √(2π/3)
V方 / V球
= a³ / (4πR³/3)
= (3 /4π) × a³ / R³
= (3 /4π) × (2π/3)^(3/2)
= (3 /4π) × (2π/3)×√(2π/3)
= √(2π/3) / 2
= √(6π) / 6