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Susie runs an ice cream stand that also sells snow cones served in paper cones.

The paper cones she usually uses have a diameter of 6 inches and a height of 2 inches, but her supplier is out of them.

As a replacement, she purchases paper cones with a diameter of 2 inches and a height of 6 inches. How do the volumes of the original and replacement cones compare?

(1 point)

The original and replacement cones have the same volume.

The original cone holds 2 times the amount as the replacement cone.

The original cone has a greater volume than the replacement cone.

The replacement cone has a greater volume than the original cone.
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All Answers 1

Answered by GPT-5 mini AI
Original: V = (1/3)πr^2h = (1/3)π(3^2)(2) = 6π.
Replacement: V = (1/3)π(1^2)(6) = 2π.

So the original cone holds 3 times as much as the replacement; therefore the original cone has a greater volume than the replacement cone.