Cylindrical Height of Double Point given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cylindrical Height of Double Point = (Total Surface Area of Double Point/(pi*Radius of Double Point)-sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)-sqrt(Height of Second Cone of Double Point^2+Radius of Double Point^2))/2
hCylinder = (TSA/(pi*r)-sqrt(hFirst Cone^2+r^2)-sqrt(hSecond Cone^2+r^2))/2
This formula uses 1 Constants, 1 Functions, 5 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
Cylindrical Height of Double Point - (Measured in Meter) - Cylindrical Height of Double Point is the vertical distance between the circular faces of the cylindrical portion in the Double Point.
Total Surface Area of Double Point - (Measured in Square Meter) - Total Surface Area of Double Point is the total quantity of plane enclosed on the entire surface of the Double Point.
Radius of Double Point - (Measured in Meter) - Radius of Double Point is the distance from center to any point on the circumference of the circular faces of the cylindrical portion in the Double Point.
Height of First Cone of Double Point - (Measured in Meter) - Height of First Cone of Double Point is the distance between the center of circular face and apex of the first cone attached to the cylindrical portion in the Double Point.
Height of Second Cone of Double Point - (Measured in Meter) - Height of Second Cone of Double Point is the distance between the center of circular face and apex of the second cone attached to the cylindrical portion in the Double Point.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Double Point: 1050 Square Meter --> 1050 Square Meter No Conversion Required
Radius of Double Point: 5 Meter --> 5 Meter No Conversion Required
Height of First Cone of Double Point: 15 Meter --> 15 Meter No Conversion Required
Height of Second Cone of Double Point: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hCylinder = (TSA/(pi*r)-sqrt(hFirst Cone^2+r^2)-sqrt(hSecond Cone^2+r^2))/2 --> (1050/(pi*5)-sqrt(15^2+5^2)-sqrt(10^2+5^2))/2
Evaluating ... ...
hCylinder = 19.9266739551276
STEP 3: Convert Result to Output's Unit
19.9266739551276 Meter --> No Conversion Required
FINAL ANSWER
19.9266739551276 19.92667 Meter <-- Cylindrical Height of Double Point
(Calculation completed in 00.020 seconds)

Credits

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Walchand College of Engineering (WCE), Sangli
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4 Height of Double Point Calculators

Cylindrical Height of Double Point given Total Surface Area
Go Cylindrical Height of Double Point = (Total Surface Area of Double Point/(pi*Radius of Double Point)-sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)-sqrt(Height of Second Cone of Double Point^2+Radius of Double Point^2))/2
Height of Second Cone of Double Point
Go Height of Second Cone of Double Point = Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point
Height of First Cone of Double Point
Go Height of First Cone of Double Point = Length of Double Point-Cylindrical Height of Double Point-Height of Second Cone of Double Point
Cylindrical Height of Double Point
Go Cylindrical Height of Double Point = Length of Double Point-Height of First Cone of Double Point-Height of Second Cone of Double Point

Cylindrical Height of Double Point given Total Surface Area Formula

Cylindrical Height of Double Point = (Total Surface Area of Double Point/(pi*Radius of Double Point)-sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)-sqrt(Height of Second Cone of Double Point^2+Radius of Double Point^2))/2
hCylinder = (TSA/(pi*r)-sqrt(hFirst Cone^2+r^2)-sqrt(hSecond Cone^2+r^2))/2

What is Double Point?

In three dimensional geometry a Double Point is the shape formed by a circular cylinder with two circular cones of base radius equal to the radius of cylinder are attached on the circular faces of the cylinder. These two cones need not be identical, they can have different height. The reason for the name "Double Point" is the sharp tips of the two cones of this shape. Height of the Double Point is actually the distance between these two tips.

How to Calculate Cylindrical Height of Double Point given Total Surface Area?

Cylindrical Height of Double Point given Total Surface Area calculator uses Cylindrical Height of Double Point = (Total Surface Area of Double Point/(pi*Radius of Double Point)-sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)-sqrt(Height of Second Cone of Double Point^2+Radius of Double Point^2))/2 to calculate the Cylindrical Height of Double Point, Cylindrical Height of Double Point given Total Surface Area formula is defined as the vertical distance between the circular faces of the cylindrical portion in the Double Point, calculated using its total surface area. Cylindrical Height of Double Point is denoted by hCylinder symbol.

How to calculate Cylindrical Height of Double Point given Total Surface Area using this online calculator? To use this online calculator for Cylindrical Height of Double Point given Total Surface Area, enter Total Surface Area of Double Point (TSA), Radius of Double Point (r), Height of First Cone of Double Point (hFirst Cone) & Height of Second Cone of Double Point (hSecond Cone) and hit the calculate button. Here is how the Cylindrical Height of Double Point given Total Surface Area calculation can be explained with given input values -> 19.92667 = (1050/(pi*5)-sqrt(15^2+5^2)-sqrt(10^2+5^2))/2.

FAQ

What is Cylindrical Height of Double Point given Total Surface Area?
Cylindrical Height of Double Point given Total Surface Area formula is defined as the vertical distance between the circular faces of the cylindrical portion in the Double Point, calculated using its total surface area and is represented as hCylinder = (TSA/(pi*r)-sqrt(hFirst Cone^2+r^2)-sqrt(hSecond Cone^2+r^2))/2 or Cylindrical Height of Double Point = (Total Surface Area of Double Point/(pi*Radius of Double Point)-sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)-sqrt(Height of Second Cone of Double Point^2+Radius of Double Point^2))/2. Total Surface Area of Double Point is the total quantity of plane enclosed on the entire surface of the Double Point, Radius of Double Point is the distance from center to any point on the circumference of the circular faces of the cylindrical portion in the Double Point, Height of First Cone of Double Point is the distance between the center of circular face and apex of the first cone attached to the cylindrical portion in the Double Point & Height of Second Cone of Double Point is the distance between the center of circular face and apex of the second cone attached to the cylindrical portion in the Double Point.
How to calculate Cylindrical Height of Double Point given Total Surface Area?
Cylindrical Height of Double Point given Total Surface Area formula is defined as the vertical distance between the circular faces of the cylindrical portion in the Double Point, calculated using its total surface area is calculated using Cylindrical Height of Double Point = (Total Surface Area of Double Point/(pi*Radius of Double Point)-sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)-sqrt(Height of Second Cone of Double Point^2+Radius of Double Point^2))/2. To calculate Cylindrical Height of Double Point given Total Surface Area, you need Total Surface Area of Double Point (TSA), Radius of Double Point (r), Height of First Cone of Double Point (hFirst Cone) & Height of Second Cone of Double Point (hSecond Cone). With our tool, you need to enter the respective value for Total Surface Area of Double Point, Radius of Double Point, Height of First Cone of Double Point & Height of Second Cone of Double Point 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 Cylindrical Height of Double Point?
In this formula, Cylindrical Height of Double Point uses Total Surface Area of Double Point, Radius of Double Point, Height of First Cone of Double Point & Height of Second Cone of Double Point. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Cylindrical Height of Double Point = Length of Double Point-Height of First Cone of Double Point-Height of Second Cone of Double Point
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