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# Calculate The Volume of A Right Truncated Cylinder

Last updated: Saturday, April 29, 2023
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Right Truncated
Cylindrical Wedge

A right truncated cylinder with a slanted top is a captivating three-dimensional geometric figure consisting of two parallel, congruent circular bases connected by perpendicular lateral faces, with the top section sliced off at an angle that is not parallel to the base. This distinctive shape, which deviates from the typical right truncated cylinder, offers unique design possibilities and has various applications in mathematics, engineering, and architecture.

Everyday objects like uniquely designed containers or flower vases may also exhibit the characteristics of a right truncated cylinder with a slanted top, offering both aesthetic appeal and practical use. In the realm of engineering and manufacturing, this shape can be utilized in the design of custom-made components for various industries, including automotive and aerospace, where the specific geometry contributes to improved aerodynamics and performance. Additionally, artists and sculptors may incorporate right truncated cylinders with slanted tops into their creations to achieve a dynamic visual effect and explore the boundaries of geometric forms.

Easily calculate the volume of a right truncated cylinder with a slanted top using our free calculator below with step-by-step guidance.

The formula for determining the volume of a right truncated cylinder is defined as:
$$V$$ $$=$$ $$\dfrac{1}{2}$$ $$\cdot$$ $$\pi$$ $$\cdot$$ $$r^2$$ $$\cdot$$ $$(h_1$$ $$+$$ $$h_2)$$
$$V$$: the volume 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 volume is: $$cubic \text{ } meter\text{ }(m^3)$$

## Find $$V$$

Use this calculator to determine the volume of a truncated cylinder when the radius of the base and the heights are given.
Hold & Drag
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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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