Problem

2. According to the box of SnoKone cups, they are cones with a diameter of 3 inches, and are 4 inches tall. If the flavored ice fills this cup with an additional half-sphere scoop on the top, how much flavored ice is being sold with each cup?

Answer

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Answer

\boxed{16.49}

Steps

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}

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