Math Problem Statement
A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 20 cm, and its base is of diameter 7 cm, find the total volume of the article.
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Volume of solids
Cylinder
Hemisphere
Formulas
Volume of a cylinder: V = πr²h
Volume of a hemisphere: V = (2/3)πr³
Theorems
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Suitable Grade Level
Grades 9-11
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