Math Problem Statement
A juice glass is shaped so that the volume of liquid it contains is given by the formula: v=1/4pieh2. where h is the depth of the liquid in the glass. Juice is poured into the glass at a rate of 5cm3/. At what rate is the depth of juice increasing in cm/s when the depth of the juice is 3cm?
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Rate of Change
Volume Calculations
Formulas
Volume of a cylinder: V = πr^2h
Theorems
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Suitable Grade Level
Grades 11-12
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