Height of Diagonally Halved Cylinder given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Diagonally Halved Cylinder = 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
h = TSA/(pi*r)-r-dSpace/2
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
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.
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
Total Surface Area of Diagonally Halved Cylinder: 220 Square Meter --> 220 Square Meter No Conversion Required
Radius of Diagonally Halved Cylinder: 4 Meter --> 4 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
h = TSA/(pi*r)-r-dSpace/2 --> 220/(pi*4)-4-11/2
Evaluating ... ...
h = 8.00704374010849
STEP 3: Convert Result to Output's Unit
8.00704374010849 Meter --> No Conversion Required
FINAL ANSWER
8.00704374010849 8.007044 Meter <-- Height of Diagonally Halved Cylinder
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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4 Height of Diagonally Halved Cylinder Calculators

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

Height of Diagonally Halved Cylinder given Total Surface Area Formula

Height of Diagonally Halved Cylinder = 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
h = TSA/(pi*r)-r-dSpace/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 Height of Diagonally Halved Cylinder given Total Surface Area?

Height of Diagonally Halved Cylinder given Total Surface Area calculator uses Height of Diagonally Halved Cylinder = 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 to calculate the Height of Diagonally Halved Cylinder, Height of Diagonally Halved Cylinder given Total Surface Area formula is defined as the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder, and calculated using the total surface area of the Diagonally Halved Cylinder. Height of Diagonally Halved Cylinder is denoted by h symbol.

How to calculate Height of Diagonally Halved Cylinder given Total Surface Area using this online calculator? To use this online calculator for Height of Diagonally Halved Cylinder given Total Surface Area, enter Total Surface Area of Diagonally Halved Cylinder (TSA), Radius of Diagonally Halved Cylinder (r) & Space Diagonal of Diagonally Halved Cylinder (dSpace) and hit the calculate button. Here is how the Height of Diagonally Halved Cylinder given Total Surface Area calculation can be explained with given input values -> 8.007044 = 220/(pi*4)-4-11/2.

FAQ

What is Height of Diagonally Halved Cylinder given Total Surface Area?
Height of Diagonally Halved Cylinder given Total Surface Area formula is defined as the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder, and calculated using the total surface area of the Diagonally Halved Cylinder and is represented as h = TSA/(pi*r)-r-dSpace/2 or Height of Diagonally Halved Cylinder = 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. Total Surface Area of Diagonally Halved Cylinder is the total quantity of plane enclosed on the entire surface of the 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 & 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 Height of Diagonally Halved Cylinder given Total Surface Area?
Height of Diagonally Halved Cylinder given Total Surface Area formula is defined as the vertical distance from the base circular face to the top most point of the Diagonally Halved Cylinder, and calculated using the total surface area of the Diagonally Halved Cylinder is calculated using Height of Diagonally Halved Cylinder = 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. To calculate Height of Diagonally Halved Cylinder given Total Surface Area, you need Total Surface Area of Diagonally Halved Cylinder (TSA), Radius of Diagonally Halved Cylinder (r) & Space Diagonal of Diagonally Halved Cylinder (dSpace). With our tool, you need to enter the respective value for Total Surface Area of Diagonally Halved Cylinder, Radius 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 Height of Diagonally Halved Cylinder?
In this formula, Height of Diagonally Halved Cylinder uses Total Surface Area of Diagonally Halved Cylinder, Radius 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 -
  • Height of Diagonally Halved Cylinder = sqrt(Space Diagonal of Diagonally Halved Cylinder^2-(4*Radius of Diagonally Halved Cylinder^2))
  • Height of Diagonally Halved Cylinder = Lateral Surface Area of Diagonally Halved Cylinder/(pi*Radius of Diagonally Halved Cylinder)
  • Height of Diagonally Halved Cylinder = (2*Volume of Diagonally Halved Cylinder)/(pi*Radius of Diagonally Halved Cylinder^2)
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