An 18-inch tall cone-shaped container with a base diameter of 1 foot is full of vegetable oil. A 10-inch tall cylindrical container is filled from the cone. What is the minimum diameter that the cylinder must have in order to hold the vegetable oil?

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An 18-inch tall cone-shaped container with a base diameter of 1 foot is full of vegetable oil. A 10-inch tall cylindrical container is filled from the cone. What is the minimum diameter that the cylinder must have in order to hold the vegetable oil?