Math Problem Statement
A solid cylinder of radius r cm and height h cm is to be carved out of a piece of solid wood in the form of a solid cone of base diameter 24 cm and height 32 cm. Calculate the value of r for which the volume of the cylinder carved out will be a maximum and find this maximum volume.
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Optimization
Formulas
Volume of a Cone
Volume of a Cylinder
Theorems
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Suitable Grade Level
High School
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