A cylinder's radius is half its height, and its inner surface area is 616 sq cm. Approximately how many litres of milk can it hold?
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Answer: B. 1.5
Explanation
Using the curved surface area formula and the relation radius equals height over two allows finding dimensions. Solving the surface area equation yields specific radius and height values for the cylindrical container. Calculating the internal volume and converting cubic centimeters to liters gives approximately one point five liters. Curved surface area of a cylinder equals two times pi multiplied by radius and height. One liter of volume is exactly equivalent to one thousand cubic centimeters of space. Geometric proportions between radius and height simplify solving for unknown cylinder dimensions.
Container manufacturers calculate liquid holding capacities to design standardized beverage packaging. Chemical engineering applications require precise volume estimations for cylindrical storage tanks. Understanding metric capacity conversions is essential for practical laboratory and industrial work. Option A suggests one point four liters which underestimates the calculated container capacity. Option C suggests one point seven liters which overstates the volume derived from surface area. Option D suggests one point nine liters which fails to match the precise metric conversion.
- Subject
- Mathematics
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- Mathematics
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- —
- Difficulty
- medium
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