Volume of Half Cylinder given Space Diagonal and Height Calculator

✖Height of Half Cylinder is the perpendicular distance between the top and bottom faces of Half Cylinder.ⓘ Height of Half Cylinder [h]			+10% -10%
✖Space Diagonal of Half Cylinder is a line connecting two vertices that are not on the same face of Half Cylinder.ⓘ Space Diagonal of Half Cylinder [d_Space]			+10% -10%

✖Volume of Half Cylinders is the amount of 3-dimensional space enclosed by the surface of Half Cylinder.ⓘ Volume of Half Cylinder given Space Diagonal and Height [V]

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Volume of Half Cylinder given Space Diagonal and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Half Cylinder = 1/2*pi*Height of Half Cylinder*(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)
V = 1/2*pi*h*(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 Half Cylinder - (Measured in Cubic Meter) - Volume of Half Cylinders is the amount of 3-dimensional space enclosed by the surface of Half Cylinder.
Height of Half Cylinder - (Measured in Meter) - Height of Half Cylinder is the perpendicular distance between the top and bottom faces of Half Cylinder.
Space Diagonal of Half Cylinder - (Measured in Meter) - Space Diagonal of Half Cylinder is a line connecting two vertices that are not on the same face of Half Cylinder.

STEP 1: Convert Input(s) to Base Unit

Height of Half Cylinder: 12 Meter --> 12 Meter No Conversion Required
Space Diagonal of Half Cylinder: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 1/2*pi*h*(d_Space^2-h^2) --> 1/2*pi*12*(15^2-12^2)

Evaluating ... ...

V = 1526.81402964464

STEP 3: Convert Result to Output's Unit

1526.81402964464 Cubic Meter --> No Conversion Required

FINAL ANSWER

1526.81402964464 ≈ 1526.814 Cubic Meter <-- Volume of Half 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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< Volume of Half Cylinder Calculators

Volume of Half Cylinder given Space Diagonal and Radius

LaTeX Go Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)

Volume of Half Cylinder given Space Diagonal and Height

LaTeX Go Volume of Half Cylinder = 1/2*pi*Height of Half Cylinder*(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)

Volume of Half Cylinder given Curved Surface Area and Height

LaTeX Go Volume of Half Cylinder = 1/2*Curved Surface Area of Half Cylinder^2/(pi*Height of Half Cylinder)

Volume of Half Cylinder given Curved Surface Area and Radius

LaTeX Go Volume of Half Cylinder = 1/2*Radius of Half Cylinder*Curved Surface Area of Half Cylinder

Volume of Half Cylinder given Space Diagonal and Height Formula

LaTeX Go

Volume of Half Cylinder = 1/2*pi*Height of Half Cylinder*(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2)
V = 1/2*pi*h*(d_Space^2-h^2)

What is Half Cylinder?

A Half-cylindrical shape in mathematics is a three-dimensional solid figure which is obtained when a cylinder is truncated longitudinally. When a horizontal cylinder is cut into two equal pieces parallel to the length of the cylinder, the shapes thus obtained are called half-cylinders.

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

Volume of Half Cylinder given Space Diagonal and Height calculator uses Volume of Half Cylinder = 1/2*pi*Height of Half Cylinder*(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2) to calculate the Volume of Half Cylinder, Volume of Half Cylinder given Space Diagonal and Height formula is defined as the amount of 3-dimensional space enclosed by the surface of Half Cylinder, calculated using its space diagonal and height. Volume of Half Cylinder is denoted by V symbol.

How to calculate Volume of Half Cylinder given Space Diagonal and Height using this online calculator? To use this online calculator for Volume of Half Cylinder given Space Diagonal and Height, enter Height of Half Cylinder (h) & Space Diagonal of Half Cylinder (d_Space) and hit the calculate button. Here is how the Volume of Half Cylinder given Space Diagonal and Height calculation can be explained with given input values -> 1526.814 = 1/2*pi*12*(15^2-12^2).

FAQ

What is Volume of Half Cylinder given Space Diagonal and Height?

Volume of Half Cylinder given Space Diagonal and Height formula is defined as the amount of 3-dimensional space enclosed by the surface of Half Cylinder, calculated using its space diagonal and height and is represented as V = 1/2*pi*h*(d_Space^2-h^2) or Volume of Half Cylinder = 1/2*pi*Height of Half Cylinder*(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2). Height of Half Cylinder is the perpendicular distance between the top and bottom faces of Half Cylinder & Space Diagonal of Half Cylinder is a line connecting two vertices that are not on the same face of Half Cylinder.

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

Volume of Half Cylinder given Space Diagonal and Height formula is defined as the amount of 3-dimensional space enclosed by the surface of Half Cylinder, calculated using its space diagonal and height is calculated using Volume of Half Cylinder = 1/2*pi*Height of Half Cylinder*(Space Diagonal of Half Cylinder^2-Height of Half Cylinder^2). To calculate Volume of Half Cylinder given Space Diagonal and Height, you need Height of Half Cylinder (h) & Space Diagonal of Half Cylinder (d_Space). With our tool, you need to enter the respective value for Height of Half Cylinder & Space Diagonal of Half 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 Half Cylinder?

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

Volume of Half Cylinder = 1/2*Curved Surface Area of Half Cylinder^2/(pi*Height of Half Cylinder)
Volume of Half Cylinder = 1/2*Radius of Half Cylinder*Curved Surface Area of Half Cylinder
Volume of Half Cylinder = 1/2*pi*Radius of Half Cylinder^2*sqrt(Space Diagonal of Half Cylinder^2-Radius of Half Cylinder^2)

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