Math Problem Statement
A solid iron sphere (density = 7.87 g/cm³) has a volume of 30 cm³. When the sphere is fully submerged in a beaker containing a mystery liquid, the liquid displaced has a mass of 50 g.
a. Calculate the volume of the displaced liquid. b. Using the volume of the displaced liquid and its mass, determine the density of the mystery liquid.
Solution
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Math Problem Analysis
Mathematical Concepts
Density
Volume
Mass
Archimedes' Principle
Formulas
Density = Mass / Volume
Volume of displaced liquid = Volume of the submerged object (Archimedes' Principle)
Theorems
Archimedes' Principle
Suitable Grade Level
Grades 9-12