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: Vcone=13πr2h=13π(1.5)2(4)9.42 cubic inches

Step 2 :Find the volume of the half-sphere: Vhalfsphere=12×43πr3=12×43π(1.5)37.07 cubic inches

Step 3 :Add the volumes of the cone and the half-sphere: Vtotal=Vcone+Vhalfsphere9.42+7.07=16.49 cubic inches

Step 4 :\boxed{16.49}

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