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