# If a spherical tank 6 m in diameter can be filled with a liquid for $800, How do you find the cost to fill a tank 18 m in diameter?

Volume varies as the cube of linear dimensions (for objects with similar geometrical properties).

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Since the cost to fill a spherical tank is directly proportional to its volume, and volume is determined by the cube of the diameter, the cost to fill a tank with three times the diameter would be 27 times the cost of the original tank. Therefore, to find the cost to fill a tank 18 m in diameter, you would multiply $800 by 27, resulting in a cost of$21,600.

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