Math Problem Statement
A sample of liquid rocket fuel is stored in a sphere-shaped fuel tank that has an inner diameter of 5.0 feet. In order to drain the tank, a worker uses a pump that can move 9.48 gallons per minute. How many minutes will it take to drain the tank?
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume Calculation
Unit Conversion
Rate Problems
Formulas
Volume of a sphere: V = (4/3) * π * r^3
Time to drain: t = Total Volume in Gallons / Pump Rate
Theorems
Geometric formula for the volume of a sphere
Suitable Grade Level
Grades 9-12
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