Cylinders and Cones

Examples and applications for cylinders, cones, and related shapes like pipes and truncated cylinders.

Mathematical Examples: Cylinder

Example 1: Basic Cylinder Calculations

A water pipe has an internal radius of 0.2 m0.2\text{ m} and a length of 10 m10\text{ m}. Calculate the internal volume of the pipe.

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Example 2: Intermediate Cylinder Surface Area

A cylindrical steel tank has a radius of 3 m3\text{ m} and a height of 8 m8\text{ m}. What is the total surface area of steel required to construct it, assuming it is closed on both ends?

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Example 3: Advanced Cylinder Fluid Capacity

A cylindrical reservoir holds 500 m3500\text{ m}^3 of water when full. If its height is 10 m10\text{ m}, find its diameter.

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