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The surface area of a right truncated cylinder with a slanted top base refers to the sum of the areas of all its faces, including the top and bottom bases, the lateral surface, and the base of the truncated section. It is a crucial geometric measurement in engineering, architecture, and construction industries, where it is used to determine the amount of material required to cover the outer surface of the truncated cylinder.

The formula for determining the surface area of a right truncated cylinder is defined as:

\(SA\) \(=\) \(\pi\) \(\cdot\) \(r\) \(\cdot\) \((h_1\) \(+\) \(h_2)\) \(+\) \(\pi\) \(\cdot\) \(r^2\) \(+\) \(\pi\) \(\cdot\) \(r^2\) \(\cdot\) \(sec(\theta)\)

\(SA\): the surface area of the cylinder

\(r\): the radius of the base

\(h_1\): the shortest side of the cylinder

\(h_2\): the tallest side of the cylinder

The SI unit of surface area is: \(square \text{ } meter\text{ }(m^2)\)

## Find \(SA\)

Use this calculator to determine the surface area of a truncated cylinder when the radius of the base and the heights are given.

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the radius of the base

\(r\)

\(meter\)

the shortest side of the cylinder

\(h_1\)

\(meter\)

the tallest side of the cylinder

\(h_2\)

\(meter\)

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