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r₂ = r₁ + 3dm
L₂ − L₁ = 234dm²
6r₂² − 6r₁² = 234dm²
6(r₂² − r₁²) = 234dm²
r₂² − r₁² = 39dm²
(r₁ + 3dm)² − r₁² = 39dm²
r₁² + 6r₁dm + 9dm² − r₁² = 39dm²
6r₁dm = 30dm²
r₁ = 5dm
r₂ = r₁ + 3 = 5 + 3 = 8dm
V₂ − V₁ = (8dm)³ − (5dm)³ = 512dm³ − 125dm³ = 387dm³