Verified Answer :

HomertheGenius

V = 4/3 r³ π
2916 = 4/3 r³ · 3.14
r³ = 696.49681
r = ∛696.49681 ,  r ( larger ) = 8.8642 in
4 r (L)² π : 4 r (S)² π = 3 : 2       
r S = 0.8164965 r L
r S = 0.8164965 8.8642 = 7.2376 in
V ( smaller ) = 4/2 7.2376³ * 3.14      = 1587.269 in³

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