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Calculate The Volume of An Oblique Cylinder

Last updated: Saturday, April 29, 2023
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Oblique Cylinder
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An oblique cylinder is a captivating three-dimensional geometric figure that features two parallel, congruent circular bases connected by oblique, rather than perpendicular, lateral faces. This unique structure sets it apart from the more common right cylinder and has various applications in mathematics, engineering, and design. The study of oblique cylinders enriches our understanding of geometry and allows for creative exploration of diverse forms in practical applications.

The world around us is filled with fascinating objects that resemble the shape of an oblique cylinder, demonstrating the versatility and appeal of this geometric figure. One striking example is the Leaning Tower of Pisa, an architectural marvel known for its distinctive tilt. Although the tower is not a perfect oblique cylinder, its slanting design evokes the characteristics of this geometric shape.

In nature, tree trunks often exhibit an oblique cylindrical shape as they lean and adapt to their surroundings. This natural formation allows trees to withstand wind forces, optimize sunlight exposure, and maintain stability. Another example can be found in bent pipes or tubes used in plumbing or industrial applications, where their oblique cylindrical form enables efficient redirection of fluid flow while maintaining structural integrity.

Easily calculate the volume of an oblique cylinder with step-by-step guidance using our free calculator below.

The formula for determining the volume of an oblique cylinder is defined as:
\(V\) \(=\) \(\pi\) \(\cdot\) \(r^2\) \(\cdot\) \(h\)
\(V\): the volume of the cylinder
\(r\): the radius of the base
\(h_s\): the slant height of the cylinder
\(\theta\): the slant angle of the slope
The SI unit of volume is: \(cubic \text{ } meter\text{ }(m^3)\)
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Find \(V\)

Use this calculator to determine the volume of an oblique cylinder when the radius of the bases, the slant height and the slant angle are given.
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the radius of the base
the slant height of the cylinder
the slant angle of the slope
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