Geometry
Oblique Cylinder Volume Calculator
Calculate volume and area of slanted cylinders. Compute the volume and surface area of an oblique (slanted) cylinder given radius, perpendicular height, and slant angle.
Live Vector System
Core Dimensions
Analytic Metrics
Surface Area
78.54
Perimeter
31.416
Mathematical Verification
Our engine utilizes double-precision floating-point arithmetic for geometric derivations. For triangles, we implement Heron's Theorem with strict validation to ensure the triangle inequality principle is maintained.
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Solution Methodology
01
Enter Radius and Height
Input the base radius and the perpendicular height.
02
Check Slant Angle (Optional)
Use the slant angle to calculate the slanted side length if needed.
03
Calculate Volume
Apply V = πr²h to find the exact volume.
Common Questions
Does a slanted cylinder hold less volume than a straight one?
No. According to Cavalieri's principle, if a straight (right) cylinder and a slanted (oblique) cylinder have the same base radius and the same perpendicular height, they have exactly the same volume.
What is the formula for the volume of an oblique cylinder?
The volume formula is identical to a right cylinder: V = πr²h, where r is the radius of the circular base and h is the perpendicular height (not the slanted length).