Step 1 :Find the volume of the cone: \(V_{cone} = \frac{1}{3} \pi r^2 h = \frac{1}{3} \pi (1.5)^2 (4) \approx 9.42 \) cubic inches
Step 2 :Find the volume of the half-sphere: \(V_{half-sphere} = \frac{1}{2} \times \frac{4}{3} \pi r^3 = \frac{1}{2} \times \frac{4}{3} \pi (1.5)^3 \approx 7.07 \) cubic inches
Step 3 :Add the volumes of the cone and the half-sphere: \(V_{total} = V_{cone} + V_{half-sphere} \approx 9.42 + 7.07 = 16.49 \) cubic inches
Step 4 :\boxed{16.49}