Total Surface Area of Double Point given Volume Calculator

✖Volume of Double Point is the total quantity of three dimensional space enclosed by the surface of the Double Point.ⓘ Volume of Double Point [V]			+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%
✖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.ⓘ Height of Second Cone of Double Point [h_{Second Cone}]			+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 Volume [TSA]

⎘ Copy

👎

Formula

✖

Total Surface Area of Double Point given Volume

Formula

`"TSA" = pi*sqrt("V"/(pi*("h"_{"Cylinder"}+"h"_{"First Cone"}/3+"h"_{"Second Cone"}/3)))*((2*"h"_{"Cylinder"})+sqrt("h"_{"First Cone"}^2+"V"/(pi*("h"_{"Cylinder"}+"h"_{"First Cone"}/3+"h"_{"Second Cone"}/3)))+sqrt("h"_{"Second Cone"}^2+"V"/(pi*("h"_{"Cylinder"}+"h"_{"First Cone"}/3+"h"_{"Second Cone"}/3))))`

Example

`"1050.98m²"=pi*sqrt("2220m³"/(pi*("20m"+"15m"/3+"10m"/3)))*((2*"20m")+sqrt(("15m")^2+"2220m³"/(pi*("20m"+"15m"/3+"10m"/3)))+sqrt(("10m")^2+"2220m³"/(pi*("20m"+"15m"/3+"10m"/3))))`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF

Total Surface Area of Double Point given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Double Point = pi*sqrt(Volume of Double Point/(pi*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3)))*((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Volume of Double Point/(pi*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3)))+sqrt(Height of Second Cone of Double Point^2+Volume of Double Point/(pi*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3))))
TSA = pi*sqrt(V/(pi*(h_Cylinder+h_{First Cone}/3+h_{Second Cone}/3)))*((2*h_Cylinder)+sqrt(h_{First Cone}^2+V/(pi*(h_Cylinder+h_{First Cone}/3+h_{Second Cone}/3)))+sqrt(h_{Second Cone}^2+V/(pi*(h_Cylinder+h_{First Cone}/3+h_{Second Cone}/3))))
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.
Volume of Double Point - (Measured in Cubic Meter) - Volume of Double Point is the total quantity of three dimensional space enclosed by the surface of 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.
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

Volume of Double Point: 2220 Cubic Meter --> 2220 Cubic 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
Height of Second Cone of Double Point: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = pi*sqrt(V/(pi*(h_Cylinder+h_{First Cone}/3+h_{Second Cone}/3)))*((2*h_Cylinder)+sqrt(h_{First Cone}^2+V/(pi*(h_Cylinder+h_{First Cone}/3+h_{Second Cone}/3)))+sqrt(h_{Second Cone}^2+V/(pi*(h_Cylinder+h_{First Cone}/3+h_{Second Cone}/3)))) --> pi*sqrt(2220/(pi*(20+15/3+10/3)))*((2*20)+sqrt(15^2+2220/(pi*(20+15/3+10/3)))+sqrt(10^2+2220/(pi*(20+15/3+10/3))))

Evaluating ... ...

TSA = 1050.97969512788

STEP 3: Convert Result to Output's Unit

1050.97969512788 Square Meter --> No Conversion Required

FINAL ANSWER

1050.97969512788 ≈ 1050.98 Square Meter <-- Total Surface Area of Double Point

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Double Point » Surface Area of Double Point » Total Surface Area of Double Point » Total Surface Area of Double Point given Volume

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< 5 Total Surface Area of Double Point Calculators

Total Surface Area of Double Point given Volume

Go Total Surface Area of Double Point = pi*sqrt(Volume of Double Point/(pi*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3)))*((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Volume of Double Point/(pi*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3)))+sqrt(Height of Second Cone of Double Point^2+Volume of Double Point/(pi*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3))))

Total Surface Area of Double Point given Length

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

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

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

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 Volume Formula

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 Volume?

Total Surface Area of Double Point given Volume calculator uses Total Surface Area of Double Point = pi*sqrt(Volume of Double Point/(pi*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3)))*((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Volume of Double Point/(pi*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3)))+sqrt(Height of Second Cone of Double Point^2+Volume of Double Point/(pi*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3)))) to calculate the Total Surface Area of Double Point, Total Surface Area of Double Point given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Double Point, calculated using its volume. Total Surface Area of Double Point is denoted by TSA symbol.

How to calculate Total Surface Area of Double Point given Volume using this online calculator? To use this online calculator for Total Surface Area of Double Point given Volume, enter Volume of Double Point (V), Cylindrical Height of Double Point (h_Cylinder), Height of First Cone of Double Point (h_{First Cone}) & Height of Second Cone of Double Point (h_{Second Cone}) and hit the calculate button. Here is how the Total Surface Area of Double Point given Volume calculation can be explained with given input values -> 1050.98 = pi*sqrt(2220/(pi*(20+15/3+10/3)))*((2*20)+sqrt(15^2+2220/(pi*(20+15/3+10/3)))+sqrt(10^2+2220/(pi*(20+15/3+10/3)))).

FAQ

What is Total Surface Area of Double Point given Volume?

Total Surface Area of Double Point given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Double Point, calculated using its volume and is represented as TSA = pi*sqrt(V/(pi*(h_Cylinder+h_{First Cone}/3+h_{Second Cone}/3)))*((2*h_Cylinder)+sqrt(h_{First Cone}^2+V/(pi*(h_Cylinder+h_{First Cone}/3+h_{Second Cone}/3)))+sqrt(h_{Second Cone}^2+V/(pi*(h_Cylinder+h_{First Cone}/3+h_{Second Cone}/3)))) or Total Surface Area of Double Point = pi*sqrt(Volume of Double Point/(pi*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3)))*((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Volume of Double Point/(pi*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3)))+sqrt(Height of Second Cone of Double Point^2+Volume of Double Point/(pi*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3)))). Volume of Double Point is the total quantity of three dimensional space enclosed by the surface of 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 & 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 Total Surface Area of Double Point given Volume?

Total Surface Area of Double Point given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Double Point, calculated using its volume is calculated using Total Surface Area of Double Point = pi*sqrt(Volume of Double Point/(pi*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3)))*((2*Cylindrical Height of Double Point)+sqrt(Height of First Cone of Double Point^2+Volume of Double Point/(pi*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3)))+sqrt(Height of Second Cone of Double Point^2+Volume of Double Point/(pi*(Cylindrical Height of Double Point+Height of First Cone of Double Point/3+Height of Second Cone of Double Point/3)))). To calculate Total Surface Area of Double Point given Volume, you need Volume of Double Point (V), Cylindrical Height of Double Point (h_Cylinder), Height of First Cone of Double Point (h_{First Cone}) & Height of Second Cone of Double Point (h_{Second Cone}). With our tool, you need to enter the respective value for Volume of Double Point, Cylindrical Height 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 Total Surface Area of Double Point?

In this formula, Total Surface Area of Double Point uses Volume of Double Point, Cylindrical Height of Double Point, Height of First Cone of Double Point & Height of Second Cone of Double Point. We can use 4 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))
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))

Home

FREE PDFs

🔍 Search