(Solution) - Repeat Problem 30 for arbitrary r L1 and L2 In problem -(2025 Original AI-Free Solution)

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Repeat Problem 30 for arbitrary r, L1, and L2.
In problem 30
Find the volume inside the "T" in Figure 17, assuming that each cylinder has radius r = 2 inches and that the lengths are L1 = 12 inches and L2 = 8 inches.