Volume of Diagonally Halved Cylinder given Space Diagonal and Height Calculator

✖Height of Diagonally Halved Cylinder is the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder.ⓘ Height of Diagonally Halved Cylinder [h]			+10% -10%
✖Space Diagonal of Diagonally Halved Cylinder is the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder.ⓘ Space Diagonal of Diagonally Halved Cylinder [d_Space]			+10% -10%

✖Volume of Diagonally Halved Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Diagonally Halved Cylinder.ⓘ Volume of Diagonally Halved Cylinder given Space Diagonal and Height [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Volume of Diagonally Halved Cylinder given Space Diagonal and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Diagonally Halved Cylinder = (pi*Height of Diagonally Halved Cylinder)/8*(Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)
V = (pi*h)/8*(d_Space^2-h^2)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Volume of Diagonally Halved Cylinder - (Measured in Cubic Meter) - Volume of Diagonally Halved Cylinder is the total quantity of three dimensional space enclosed by the entire surface of the Diagonally Halved Cylinder.
Height of Diagonally Halved Cylinder - (Measured in Meter) - Height of Diagonally Halved Cylinder is the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder.
Space Diagonal of Diagonally Halved Cylinder - (Measured in Meter) - Space Diagonal of Diagonally Halved Cylinder is the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder.

STEP 1: Convert Input(s) to Base Unit

Height of Diagonally Halved Cylinder: 8 Meter --> 8 Meter No Conversion Required
Space Diagonal of Diagonally Halved Cylinder: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (pi*h)/8*(d_Space^2-h^2) --> (pi*8)/8*(11^2-8^2)

Evaluating ... ...

V = 179.070781254618

STEP 3: Convert Result to Output's Unit

179.070781254618 Cubic Meter --> No Conversion Required

FINAL ANSWER

179.070781254618 ≈ 179.0708 Cubic Meter <-- Volume of Diagonally Halved Cylinder

(Calculation completed in 00.006 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Diagonally Halved Cylinder » Volume of Diagonally Halved Cylinder » Volume of Diagonally Halved Cylinder given Space Diagonal and Height

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Volume of Diagonally Halved Cylinder Calculators

Volume of Diagonally Halved Cylinder given Total Surface Area

LaTeX Go Volume of Diagonally Halved Cylinder = 1/2*pi*Radius of Diagonally Halved Cylinder^2*(Total Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder)-Radius of Diagonally Halved Cylinder-Space Diagonal of Diagonally Halved Cylinder/2)

Volume of Diagonally Halved Cylinder given Space Diagonal and Height

LaTeX Go Volume of Diagonally Halved Cylinder = (pi*Height of Diagonally Halved Cylinder)/8*(Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)

Volume of Diagonally Halved Cylinder

LaTeX Go Volume of Diagonally Halved Cylinder = 1/2*pi*Radius of Diagonally Halved Cylinder^2*Height of Diagonally Halved Cylinder

Volume of Diagonally Halved Cylinder given Lateral Surface Area and Radius

LaTeX Go Volume of Diagonally Halved Cylinder = 1/2*Radius of Diagonally Halved Cylinder*Lateral Surface Area of Diagonally Halved Cylinder

Volume of Diagonally Halved Cylinder given Space Diagonal and Height Formula

LaTeX Go

Volume of Diagonally Halved Cylinder = (pi*Height of Diagonally Halved Cylinder)/8*(Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)
V = (pi*h)/8*(d_Space^2-h^2)

What is a Diagonally Halved Cylinder?

Diagonally Halved Cylinder is the shape obtained by cutting a right circular cylinder of finite height, diagonally from upper circular face to lower circular face, passing through the center of the cylinder. The planar shape formed at the plane of cutting will be an ellipse with major axis equal to the diagonal length.

How to Calculate Volume of Diagonally Halved Cylinder given Space Diagonal and Height?

Volume of Diagonally Halved Cylinder given Space Diagonal and Height calculator uses Volume of Diagonally Halved Cylinder = (pi*Height of Diagonally Halved Cylinder)/8*(Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2) to calculate the Volume of Diagonally Halved Cylinder, Volume of Diagonally Halved Cylinder given Space Diagonal and Height formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Diagonally Halved Cylinder, and calculated using the space diagonal and height of the Diagonally Halved Cylinder. Volume of Diagonally Halved Cylinder is denoted by V symbol.

How to calculate Volume of Diagonally Halved Cylinder given Space Diagonal and Height using this online calculator? To use this online calculator for Volume of Diagonally Halved Cylinder given Space Diagonal and Height, enter Height of Diagonally Halved Cylinder (h) & Space Diagonal of Diagonally Halved Cylinder (d_Space) and hit the calculate button. Here is how the Volume of Diagonally Halved Cylinder given Space Diagonal and Height calculation can be explained with given input values -> 179.0708 = (pi*8)/8*(11^2-8^2).

FAQ

What is Volume of Diagonally Halved Cylinder given Space Diagonal and Height?

Volume of Diagonally Halved Cylinder given Space Diagonal and Height formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Diagonally Halved Cylinder, and calculated using the space diagonal and height of the Diagonally Halved Cylinder and is represented as V = (pi*h)/8*(d_Space^2-h^2) or Volume of Diagonally Halved Cylinder = (pi*Height of Diagonally Halved Cylinder)/8*(Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2). Height of Diagonally Halved Cylinder is the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder & Space Diagonal of Diagonally Halved Cylinder is the length of the major axis or the longest chord of the upper elliptical face of the Diagonally Halved Cylinder.

How to calculate Volume of Diagonally Halved Cylinder given Space Diagonal and Height?

Volume of Diagonally Halved Cylinder given Space Diagonal and Height formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Diagonally Halved Cylinder, and calculated using the space diagonal and height of the Diagonally Halved Cylinder is calculated using Volume of Diagonally Halved Cylinder = (pi*Height of Diagonally Halved Cylinder)/8*(Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2). To calculate Volume of Diagonally Halved Cylinder given Space Diagonal and Height, you need Height of Diagonally Halved Cylinder (h) & Space Diagonal of Diagonally Halved Cylinder (d_Space). With our tool, you need to enter the respective value for Height of Diagonally Halved Cylinder & Space Diagonal of Diagonally Halved Cylinder and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume of Diagonally Halved Cylinder?

In this formula, Volume of Diagonally Halved Cylinder uses Height of Diagonally Halved Cylinder & Space Diagonal of Diagonally Halved Cylinder. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Diagonally Halved Cylinder = 1/2*pi*Radius of Diagonally Halved Cylinder^2*Height of Diagonally Halved Cylinder
Volume of Diagonally Halved Cylinder = 1/2*pi*Radius of Diagonally Halved Cylinder^2*(Total Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder)-Radius of Diagonally Halved Cylinder-Space Diagonal of Diagonally Halved Cylinder/2)
Volume of Diagonally Halved Cylinder = 1/2*Radius of Diagonally Halved Cylinder*Lateral Surface Area of Diagonally Halved Cylinder

Home

FREE PDFs

🔍 Search