Total Surface Area of Double Point given Height of First Cone Calculator

✖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.ⓘ Radius of Double Point [r]			+10% -10%
✖Cylindrical Height of Double Point is the vertical distance between the circular faces of the cylindrical portion in the Double Point.ⓘ Cylindrical Height of Double Point [h_Cylinder]			+10% -10%
✖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 First Cone of Double Point [h_{First Cone}]			+10% -10%
✖Length of Double Point is the distance between the sharp vertices of the conical parts at both ends of the Double Point.ⓘ Length of Double Point [l]			+10% -10%

✖Total Surface Area of Double Point is the total quantity of plane enclosed on the entire surface of the Double Point.ⓘ Total Surface Area of Double Point given Height of First Cone [TSA]

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Total Surface Area of Double Point given Height of First Cone Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Double Point = pi*Radius of Double Point*((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)+sqrt((Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point)^2+Radius of Double Point^2))
TSA = pi*r*((2*h_Cylinder)+sqrt(h_{First Cone}^2+r^2)+sqrt((l-h_Cylinder-h_{First Cone})^2+r^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

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.
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.
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.
Length of Double Point - (Measured in Meter) - Length of Double Point is the distance between the sharp vertices of the conical parts at both ends of the Double Point.

STEP 1: Convert Input(s) to Base Unit

Radius of Double Point: 5 Meter --> 5 Meter No Conversion Required
Cylindrical Height of Double Point: 20 Meter --> 20 Meter No Conversion Required
Height of First Cone of Double Point: 15 Meter --> 15 Meter No Conversion Required
Length of Double Point: 45 Meter --> 45 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = pi*r*((2*h_Cylinder)+sqrt(h_{First Cone}^2+r^2)+sqrt((l-h_Cylinder-h_{First Cone})^2+r^2)) --> pi*5*((2*20)+sqrt(15^2+5^2)+sqrt((45-20-15)^2+5^2))

Evaluating ... ...

TSA = 1052.30360563888

STEP 3: Convert Result to Output's Unit

1052.30360563888 Square Meter --> No Conversion Required

FINAL ANSWER

1052.30360563888 ≈ 1052.304 Square Meter <-- Total Surface Area of Double Point

(Calculation completed in 00.004 seconds)

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< Total Surface Area of Double Point Calculators

Total Surface Area of Double Point given Length

LaTeX Go Total Surface Area of Double Point = pi*Radius of Double Point*((2*(Length of Double Point-Height of First Cone of Double Point-Height of Second Cone 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))

Total Surface Area of Double Point given Height of Second Cone

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

Total Surface Area of Double Point given Height of First Cone

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

Total Surface Area of Double Point

LaTeX Go Total Surface Area of Double Point = pi*Radius of Double Point*((2*Cylindrical Height 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))

Total Surface Area of Double Point given Height of First Cone Formula

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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 Total Surface Area of Double Point given Height of First Cone?

Total Surface Area of Double Point given Height of First Cone calculator uses Total Surface Area of Double Point = pi*Radius of Double Point*((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)+sqrt((Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point)^2+Radius of Double Point^2)) to calculate the Total Surface Area of Double Point, Total Surface Area of Double Point given Height of First Cone formula is defined as the total quantity of plane enclosed on the entire surface of the Double Point, calculated using its height of the first cone. Total Surface Area of Double Point is denoted by TSA symbol.

How to calculate Total Surface Area of Double Point given Height of First Cone using this online calculator? To use this online calculator for Total Surface Area of Double Point given Height of First Cone, enter Radius of Double Point (r), Cylindrical Height of Double Point (h_Cylinder), Height of First Cone of Double Point (h_{First Cone}) & Length of Double Point (l) and hit the calculate button. Here is how the Total Surface Area of Double Point given Height of First Cone calculation can be explained with given input values -> 1052.304 = pi*5*((2*20)+sqrt(15^2+5^2)+sqrt((45-20-15)^2+5^2)).

FAQ

What is Total Surface Area of Double Point given Height of First Cone?

Total Surface Area of Double Point given Height of First Cone formula is defined as the total quantity of plane enclosed on the entire surface of the Double Point, calculated using its height of the first cone and is represented as TSA = pi*r*((2*h_Cylinder)+sqrt(h_{First Cone}^2+r^2)+sqrt((l-h_Cylinder-h_{First Cone})^2+r^2)) or Total Surface Area of Double Point = pi*Radius of Double Point*((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)+sqrt((Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point)^2+Radius of Double Point^2)). 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, Cylindrical Height of Double Point is the vertical distance between 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 & Length of Double Point is the distance between the sharp vertices of the conical parts at both ends of the Double Point.

How to calculate Total Surface Area of Double Point given Height of First Cone?

Total Surface Area of Double Point given Height of First Cone formula is defined as the total quantity of plane enclosed on the entire surface of the Double Point, calculated using its height of the first cone is calculated using Total Surface Area of Double Point = pi*Radius of Double Point*((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Radius of Double Point^2)+sqrt((Length of Double Point-Cylindrical Height of Double Point-Height of First Cone of Double Point)^2+Radius of Double Point^2)). To calculate Total Surface Area of Double Point given Height of First Cone, you need Radius of Double Point (r), Cylindrical Height of Double Point (h_Cylinder), Height of First Cone of Double Point (h_{First Cone}) & Length of Double Point (l). With our tool, you need to enter the respective value for Radius of Double Point, Cylindrical Height of Double Point, Height of First Cone of Double Point & Length 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 Total Surface Area of Double Point?

In this formula, Total Surface Area of Double Point uses Radius of Double Point, Cylindrical Height of Double Point, Height of First Cone of Double Point & Length of Double Point. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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