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The triathletes were offered water as they rode by the volunteer station. The volunteers handed them cones with the dimensions shown. If each triathlete sloshed 1/3 of the water out before they drank it, how many cubic cm of water did they slosh out? Round to the nearest tenth. (PLEASE ANSWER)

The triathletes were offered water as they rode by the volunteer station. The volunteers-example-1
User Gergo
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1 Answer

1 vote

Answer:

29.9 cm³

Explanation:

You want to know the volume represented by 1/3 of a cone that is 7 cm high and has a radius of 3.5 cm.

Cone

The volume of a cone is given by ...

V = 1/3πr²h

The volume of the cone of interest is ...

V = 1/3π(3.5 cm)²(7 cm) ≈ 89.797 cm³

Slosh

1/3 of the volume is the amount of water that sloshed out of the cone. That volume is ...

1/3(89.797 cm³) ≈ 29.9 cm³

They sloshed out about 29.9 cm³ before they drank the water.

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User Silverclaw
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