Volume Calculation for a Truncated Cone 2. Oblique Cut Where the Cut Surface Touches the Base°
Author: J007BONDExecutions: 311
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Calculate the volume V of the portion to the right of the cross-section (the shaded area) and the volume Vu of the remaining portion(on the left side of the cross-section, unshaded).
| Volume V of the cut section | |
| Volume Vu of the remaining portion after cutting |
[Source of the Formula] Atsuta Jingu Shrine Mathematical Inscription
Copy the URL below, click it online to open the site, and you can find it under “Aichi Prefecture, Atsuta Jingu Shrine 4.”
Wasan no Yakata: http://www.wasan.jp/
[Paper Proving the Correctness of the Formula] Formula for the Volume of a Truncated Cone and Its Derivation and Proof
Copy the URL below and click it online to view the paper.
https://drive.google.com/file/d/1AuNbqzPdPuiJhn0739EdncBrsuF9Ik-o/view?usp=sharing
[Related Programs] List of the “Volume Calculation for Truncated Cones” Series
If the conditions cannot be calculated using the program above, you can select one of the following options to perform the calculation.
(1) Volume Calculation for Truncated Cones 1. Vertical Truncation
(2) Volume Calculation for a Truncated Cone 2. Oblique Cut Where the Cut Surface Touches the Base
(3) Volume Calculation for a Truncated Cone 3A. Cut Angle Smaller Than the Base Angle
(4) Volume Calculation for a Truncated Cone 3B: The cutting angle is equal to the base angle
(5) Volume Calculation for a Truncated Cone 3C: The cutting angle is greater than the base angle
Copy the URL below, click it online to open the site, and you can find it under “Aichi Prefecture, Atsuta Jingu Shrine 4.”
Wasan no Yakata: http://www.wasan.jp/
[Paper Proving the Correctness of the Formula] Formula for the Volume of a Truncated Cone and Its Derivation and Proof
Copy the URL below and click it online to view the paper.
https://drive.google.com/file/d/1AuNbqzPdPuiJhn0739EdncBrsuF9Ik-o/view?usp=sharing
[Related Programs] List of the “Volume Calculation for Truncated Cones” Series
If the conditions cannot be calculated using the program above, you can select one of the following options to perform the calculation.
(1) Volume Calculation for Truncated Cones 1. Vertical Truncation
(2) Volume Calculation for a Truncated Cone 2. Oblique Cut Where the Cut Surface Touches the Base
(3) Volume Calculation for a Truncated Cone 3A. Cut Angle Smaller Than the Base Angle
(4) Volume Calculation for a Truncated Cone 3B: The cutting angle is equal to the base angle
(5) Volume Calculation for a Truncated Cone 3C: The cutting angle is greater than the base angle
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