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cristina wants to make centerpieces for a dinner party. she buys 7 cylindrical vases and plans to fill them each halfway with colored water and then place flowers in them. each vase is 8 inches tall and 3 inches in diameter. approximately how much colored water does she need? use 3.14 for π and round your answer to nearest tenth.

User Odell
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1 Answer

3 votes

Answer:

197.8 cubic inches

Explanation:

You want to know the volume of water required to fill 7 vases half full if each is 8 inches tall and 3 inches in diameter.

Volume

The formula for the volume of a cylinder in terms of its diameter is ...

V = π/4·d²h

Since each of 7 vases is half full, and each is 8 inches high, the total height of the water is (1/2)(8 in)(7) = 28 in.

The water column is 3 inches in diameter, so has a volume of ...

V = (3.14/4)(3 in)²(28 in) ≈ 197.8 in³

Cristina needs 197.8 cubic inches of colored water.

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cristina wants to make centerpieces for a dinner party. she buys 7 cylindrical vases-example-1
User Jayesh Patel
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