Math Problem Statement
Find the number of gallons of oil in a tank 6 feet in diameter and 12 feet long if the tank is in the horizontal position, and the oil measures 2 feet deep.
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume of Cylindrical Tanks
Circular Segments
Unit Conversion
Formulas
Volume of a cylindrical segment: V = L × A_segment
Area of a circular segment: A_segment = R^2 cos⁻¹((R-h)/R) - (R-h)√(2Rh - h^2)
Conversion from cubic feet to gallons: 1 cubic foot = 7.48 gallons
Theorems
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Suitable Grade Level
Grades 10-12
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