What is the height of the 45-minute bottle?

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Multiple Choice

What is the height of the 45-minute bottle?

Explanation:
The height of a cylindrical bottle is determined by its air volume and its cross-sectional area. For bottles that share the same diameter, height scales with volume according to h = V / (π r^2). So to find the height, use the known internal air volume for the 45-minute bottle and the bottle’s radius (half the diameter) in that formula. When you plug those values in, the result is 23.2 inches. That’s why the correct height is the 23.2 inch option—the calculation aligns with the larger volume of the 45-minute bottle while keeping the diameter the same as the other bottles. The other numbers would correspond to different volumes or diameters.

The height of a cylindrical bottle is determined by its air volume and its cross-sectional area. For bottles that share the same diameter, height scales with volume according to h = V / (π r^2). So to find the height, use the known internal air volume for the 45-minute bottle and the bottle’s radius (half the diameter) in that formula. When you plug those values in, the result is 23.2 inches. That’s why the correct height is the 23.2 inch option—the calculation aligns with the larger volume of the 45-minute bottle while keeping the diameter the same as the other bottles. The other numbers would correspond to different volumes or diameters.

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