A cylindrical tank holds 246.4 litres. If its height is 4 meters, what is the base diameter?
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Answer: D. None of these
Explanation
Converting liters to cubic meters gives zero point two four six four cubic meters of tank volume. Using the cylindrical volume formula pi r squared h with a height of four meters calculates the radius. Solving for the diameter gives zero point twenty-eight meters, which does not match any of options A through C. One thousand liters are exactly equal to one cubic meter of liquid volume capacity. The volume of a cylinder is calculated by multiplying pi by the square of the radius and the height. The diameter of a circle is always exactly twice the length of its radius.
Engineers calculate cylindrical tank dimensions to ensure fluid storage systems meet capacity specifications. Industrial designers use metric volume conversions regularly when planning chemical storage vessels. Recognizing none of these as the correct answer prevents forcing incorrect mathematical conclusions. Option A represents the radius rather than the calculated diameter of the cylindrical tank. Option B represents a miscalculated diameter value resulting from decimal placement errors. Option C overestimates the diameter significantly by confusing units of liters and cubic meters.
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