Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height Calculator

✖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%
✖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%

✖Total Surface Area of Diagonally Halved Cylinder is the total quantity of plane enclosed on the entire surface of the Diagonally Halved Cylinder.ⓘ Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height [TSA]

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Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Diagonally Halved Cylinder = pi*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)*(Height of Diagonally Halved Cylinder+sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)+Space Diagonal of Diagonally Halved Cylinder/2)
TSA = pi*sqrt((d_Space^2-h^2)/4)*(h+sqrt((d_Space^2-h^2)/4)+d_Space/2)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Total Surface Area of Diagonally Halved Cylinder - (Measured in Square Meter) - Total Surface Area of Diagonally Halved Cylinder is the total quantity of plane enclosed on the entire surface 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.
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

Space Diagonal of Diagonally Halved Cylinder: 11 Meter --> 11 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

TSA = pi*sqrt((d_Space^2-h^2)/4)*(h+sqrt((d_Space^2-h^2)/4)+d_Space/2) --> pi*sqrt((11^2-8^2)/4)*(8+sqrt((11^2-8^2)/4)+11/2)

Evaluating ... ...

TSA = 204.867599997899

STEP 3: Convert Result to Output's Unit

204.867599997899 Square Meter --> No Conversion Required

FINAL ANSWER

204.867599997899 ≈ 204.8676 Square Meter <-- Total Surface Area of Diagonally Halved Cylinder

(Calculation completed in 00.015 seconds)

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< Total Surface Area of Diagonally Halved Cylinder Calculators

Total Surface Area of Diagonally Halved Cylinder given Volume and Height

LaTeX Go Total Surface Area of Diagonally Halved Cylinder = pi*sqrt((2*Volume of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))*(Height of Diagonally Halved Cylinder+sqrt((2*Volume of Diagonally Halved Cylinder)/(pi*Height of Diagonally Halved Cylinder))+Space Diagonal of Diagonally Halved Cylinder/2)

Total Surface Area of Diagonally Halved Cylinder given Lateral Surface Area and Height

LaTeX Go Total Surface Area of Diagonally Halved Cylinder = Lateral Surface Area of Diagonally Halved Cylinder/Height of Diagonally Halved Cylinder*(Height of Diagonally Halved Cylinder+Lateral Surface Area of Diagonally Halved Cylinder/(pi*Height of Diagonally Halved Cylinder)+Space Diagonal of Diagonally Halved Cylinder/2)

Total Surface Area of Diagonally Halved Cylinder given Volume and Radius

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

Total Surface Area of Diagonally Halved Cylinder

LaTeX Go Total Surface Area of Diagonally Halved Cylinder = pi*Radius of Diagonally Halved Cylinder*(Height of Diagonally Halved Cylinder+Radius of Diagonally Halved Cylinder+sqrt(Height of Diagonally Halved Cylinder^2+(4*Radius of Diagonally Halved Cylinder^2))/2)

Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height Formula

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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 Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height?

Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height calculator uses Total Surface Area of Diagonally Halved Cylinder = pi*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)*(Height of Diagonally Halved Cylinder+sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)+Space Diagonal of Diagonally Halved Cylinder/2) to calculate the Total Surface Area of Diagonally Halved Cylinder, Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height formula is defined as the total quantity of plane enclosed on the entire surface of the Diagonally Halved Cylinder, and calculated using the space diagonal and height of the Diagonally Halved Cylinder. Total Surface Area of Diagonally Halved Cylinder is denoted by TSA symbol.

How to calculate Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height using this online calculator? To use this online calculator for Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height, enter Space Diagonal of Diagonally Halved Cylinder (d_Space) & Height of Diagonally Halved Cylinder (h) and hit the calculate button. Here is how the Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height calculation can be explained with given input values -> 204.8676 = pi*sqrt((11^2-8^2)/4)*(8+sqrt((11^2-8^2)/4)+11/2).

FAQ

What is Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height?

Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height formula is defined as the total quantity of plane enclosed on 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 TSA = pi*sqrt((d_Space^2-h^2)/4)*(h+sqrt((d_Space^2-h^2)/4)+d_Space/2) or Total Surface Area of Diagonally Halved Cylinder = pi*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)*(Height of Diagonally Halved Cylinder+sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)+Space Diagonal of Diagonally Halved Cylinder/2). 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 & 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 Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height?

Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height formula is defined as the total quantity of plane enclosed on the entire surface of the Diagonally Halved Cylinder, and calculated using the space diagonal and height of the Diagonally Halved Cylinder is calculated using Total Surface Area of Diagonally Halved Cylinder = pi*sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)*(Height of Diagonally Halved Cylinder+sqrt((Space Diagonal of Diagonally Halved Cylinder^2-Height of Diagonally Halved Cylinder^2)/4)+Space Diagonal of Diagonally Halved Cylinder/2). To calculate Total Surface Area of Diagonally Halved Cylinder given Space Diagonal and Height, you need Space Diagonal of Diagonally Halved Cylinder (d_Space) & Height of Diagonally Halved Cylinder (h). With our tool, you need to enter the respective value for Space Diagonal 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 Total Surface Area of Diagonally Halved Cylinder?

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

Total Surface Area of Diagonally Halved Cylinder = pi*Radius of Diagonally Halved Cylinder*(Height of Diagonally Halved Cylinder+Radius of Diagonally Halved Cylinder+sqrt(Height of Diagonally Halved Cylinder^2+(4*Radius of Diagonally Halved Cylinder^2))/2)
Total Surface Area of Diagonally Halved Cylinder = Lateral Surface Area of Diagonally Halved Cylinder/Height of Diagonally Halved Cylinder*(Height of Diagonally Halved Cylinder+Lateral Surface Area of Diagonally Halved Cylinder/(pi*Height of Diagonally Halved Cylinder)+Space Diagonal of Diagonally Halved Cylinder/2)
Total Surface Area of Diagonally Halved Cylinder = pi*Radius of Diagonally Halved Cylinder*((2*Volume of Diagonally Halved Cylinder)/(pi*Radius of Diagonally Halved Cylinder^2)+Radius of Diagonally Halved Cylinder+Space Diagonal of Diagonally Halved Cylinder/2)

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