The East-Side soccer team has a cylindrical water cooler that is half full. The diameter of the cooler is 12 in. and the height is 15 in. The team's drinking cups hold 20.14 in3. How many drinking cups can be filled from the cooler? Use 3.14 to approximate pi, and round your answer to the nearest whole number A. 14 B. 42 C. 84 D. 169

Question

Mathematics

Felix Novak

10 November, 17:33

The East-Side soccer team has a cylindrical water cooler that is half full. The diameter of the cooler is 12 in. and the height is 15 in. The team's drinking cups hold 20.14 in3. How many drinking cups can be filled from the cooler? Use 3.14 to approximate pi, and round your answer to the nearest whole number A. 14 B. 42 C. 84 D. 169

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Pippin · Answer 1

Volume of a cylinder is given by πr^2h

Volume of the cylindrical water cooler is π x (12/2) ^2 x 15 = 3.14 x 36 x 15 = 1,695.6 in^3

Volume of water in the cylindrical cooler is 1,695.6 / 2 = 847.8 in^2

Number of drinking cups that can be filled from the cooler is 847.8/20.14 = 42 cups.