Volume of Diagonally Halved Cylinder Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Diagonally Halved Cylinder = 1/2*pi*Radius of Diagonally Halved Cylinder^2*Height of Diagonally Halved Cylinder
V = 1/2*pi*r^2*h
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.
Radius of Diagonally Halved Cylinder - (Measured in Meter) - Radius of Diagonally Halved Cylinder is the distance between the center and any point on the circumference of the base circular face 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.
STEP 1: Convert Input(s) to Base Unit
Radius of Diagonally Halved Cylinder: 4 Meter --> 4 Meter No Conversion Required
Height of Diagonally Halved Cylinder: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 1/2*pi*r^2*h --> 1/2*pi*4^2*8
Evaluating ... ...
V = 201.061929829747
STEP 3: Convert Result to Output's Unit
201.061929829747 Cubic Meter --> No Conversion Required
FINAL ANSWER
201.061929829747 201.0619 Cubic Meter <-- Volume of Diagonally Halved Cylinder
(Calculation completed in 00.004 seconds)

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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6 Volume of Diagonally Halved Cylinder Calculators

Volume of Diagonally Halved Cylinder given Total Surface Area
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 Lateral Surface Area and Height
Go Volume of Diagonally Halved Cylinder = 1/2*pi*(Lateral Surface Area of Diagonally Halved Cylinder/(pi*Height of Diagonally Halved Cylinder))^2*Height of Diagonally Halved Cylinder
Volume of Diagonally Halved Cylinder given Space Diagonal and Height
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
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
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 Total Surface Area and Surface to Volume Ratio
Go Volume of Diagonally Halved Cylinder = Total Surface Area of Diagonally Halved Cylinder/SA:V of Diagonally Halved Cylinder

Volume of Diagonally Halved Cylinder Formula

Volume of Diagonally Halved Cylinder = 1/2*pi*Radius of Diagonally Halved Cylinder^2*Height of Diagonally Halved Cylinder
V = 1/2*pi*r^2*h

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?

Volume of Diagonally Halved Cylinder calculator uses Volume of Diagonally Halved Cylinder = 1/2*pi*Radius of Diagonally Halved Cylinder^2*Height of Diagonally Halved Cylinder to calculate the Volume of Diagonally Halved Cylinder, Volume of Diagonally Halved Cylinder formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Diagonally Halved Cylinder. Volume of Diagonally Halved Cylinder is denoted by V symbol.

How to calculate Volume of Diagonally Halved Cylinder using this online calculator? To use this online calculator for Volume of Diagonally Halved Cylinder, enter Radius of Diagonally Halved Cylinder (r) & Height of Diagonally Halved Cylinder (h) and hit the calculate button. Here is how the Volume of Diagonally Halved Cylinder calculation can be explained with given input values -> 201.0619 = 1/2*pi*4^2*8.

FAQ

What is Volume of Diagonally Halved Cylinder?
Volume of Diagonally Halved Cylinder formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Diagonally Halved Cylinder and is represented as V = 1/2*pi*r^2*h or Volume of Diagonally Halved Cylinder = 1/2*pi*Radius of Diagonally Halved Cylinder^2*Height of Diagonally Halved Cylinder. Radius of Diagonally Halved Cylinder is the distance between the center and any point on the circumference of the base circular face of the Diagonally Halved Cylinder & Height of Diagonally Halved Cylinder is the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder.
How to calculate Volume of Diagonally Halved Cylinder?
Volume of Diagonally Halved Cylinder formula is defined as the total quantity of three dimensional space enclosed by the entire surface of the Diagonally Halved Cylinder is calculated using Volume of Diagonally Halved Cylinder = 1/2*pi*Radius of Diagonally Halved Cylinder^2*Height of Diagonally Halved Cylinder. To calculate Volume of Diagonally Halved Cylinder, you need Radius of Diagonally Halved Cylinder (r) & Height of Diagonally Halved Cylinder (h). With our tool, you need to enter the respective value for Radius of Diagonally Halved Cylinder & Height 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 Radius of Diagonally Halved Cylinder & Height of Diagonally Halved Cylinder. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • 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 = 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
  • Volume of Diagonally Halved Cylinder = 1/2*pi*(Lateral Surface Area of Diagonally Halved Cylinder/(pi*Height of Diagonally Halved Cylinder))^2*Height of Diagonally Halved Cylinder
  • Volume of Diagonally Halved Cylinder = Total Surface Area of Diagonally Halved Cylinder/SA:V of Diagonally Halved Cylinder
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