Total Surface Area of Spherical Cap given Volume and Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Spherical Cap = Surface to Volume Ratio of Spherical Cap*Volume of Spherical Cap
TSA = RA/V*V
This formula uses 3 Variables
Variables Used
Total Surface Area of Spherical Cap - (Measured in Square Meter) - Total Surface Area of Spherical Cap is the total quantity of two dimensional space enclosed on the base and curved surfaces of the Spherical Cap.
Surface to Volume Ratio of Spherical Cap - (Measured in 1 per Meter) - Surface to Volume Ratio of Spherical Cap is the numerical ratio of the total surface area of a Spherical Cap to the volume of the Spherical Cap.
Volume of Spherical Cap - (Measured in Cubic Meter) - Volume of Spherical Cap is the total quantity of three dimensional space enclosed by the entire surface of the Spherical Cap.
STEP 1: Convert Input(s) to Base Unit
Surface to Volume Ratio of Spherical Cap: 1.1 1 per Meter --> 1.1 1 per Meter No Conversion Required
Volume of Spherical Cap: 440 Cubic Meter --> 440 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = RA/V*V --> 1.1*440
Evaluating ... ...
TSA = 484
STEP 3: Convert Result to Output's Unit
484 Square Meter --> No Conversion Required
FINAL ANSWER
484 Square Meter <-- Total Surface Area of Spherical Cap
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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Total Surface Area of Spherical Cap Calculators

Total Surface Area of Spherical Cap given Surface to Volume Ratio
​ LaTeX ​ Go Total Surface Area of Spherical Cap = pi/3*Surface to Volume Ratio of Spherical Cap*Height of Spherical Cap^2*((3*Sphere Radius of Spherical Cap)-Height of Spherical Cap)
Total Surface Area of Spherical Cap
​ LaTeX ​ Go Total Surface Area of Spherical Cap = (4*pi*Sphere Radius of Spherical Cap*Height of Spherical Cap)-(pi*Height of Spherical Cap^2)
Total Surface Area of Spherical Cap given Cap Radius
​ LaTeX ​ Go Total Surface Area of Spherical Cap = pi*((2*Sphere Radius of Spherical Cap*Height of Spherical Cap)+Cap Radius of Spherical Cap^2)
Total Surface Area of Spherical Cap given Volume and Surface to Volume Ratio
​ LaTeX ​ Go Total Surface Area of Spherical Cap = Surface to Volume Ratio of Spherical Cap*Volume of Spherical Cap

Total Surface Area of Spherical Cap given Volume and Surface to Volume Ratio Formula

​LaTeX ​Go
Total Surface Area of Spherical Cap = Surface to Volume Ratio of Spherical Cap*Volume of Spherical Cap
TSA = RA/V*V

What is a Spherical Cap?

In geometry, a Spherical Cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. It is also a spherical segment of one base, i.e., bounded by a single plane. If the plane passes through the center of the sphere, so that the height of the cap is equal to the radius of the sphere, the Spherical Cap is called a hemisphere.

How to Calculate Total Surface Area of Spherical Cap given Volume and Surface to Volume Ratio?

Total Surface Area of Spherical Cap given Volume and Surface to Volume Ratio calculator uses Total Surface Area of Spherical Cap = Surface to Volume Ratio of Spherical Cap*Volume of Spherical Cap to calculate the Total Surface Area of Spherical Cap, Total Surface Area of Spherical Cap given Volume and Surface to Volume Ratio formula is defined as the total quantity of two dimensional space enclosed on the base and curved surfaces of the Spherical Cap, and calculated using the volume and surface to volume ratio of the Spherical Cap. Total Surface Area of Spherical Cap is denoted by TSA symbol.

How to calculate Total Surface Area of Spherical Cap given Volume and Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area of Spherical Cap given Volume and Surface to Volume Ratio, enter Surface to Volume Ratio of Spherical Cap (RA/V) & Volume of Spherical Cap (V) and hit the calculate button. Here is how the Total Surface Area of Spherical Cap given Volume and Surface to Volume Ratio calculation can be explained with given input values -> 484 = 1.1*440.

FAQ

What is Total Surface Area of Spherical Cap given Volume and Surface to Volume Ratio?
Total Surface Area of Spherical Cap given Volume and Surface to Volume Ratio formula is defined as the total quantity of two dimensional space enclosed on the base and curved surfaces of the Spherical Cap, and calculated using the volume and surface to volume ratio of the Spherical Cap and is represented as TSA = RA/V*V or Total Surface Area of Spherical Cap = Surface to Volume Ratio of Spherical Cap*Volume of Spherical Cap. Surface to Volume Ratio of Spherical Cap is the numerical ratio of the total surface area of a Spherical Cap to the volume of the Spherical Cap & Volume of Spherical Cap is the total quantity of three dimensional space enclosed by the entire surface of the Spherical Cap.
How to calculate Total Surface Area of Spherical Cap given Volume and Surface to Volume Ratio?
Total Surface Area of Spherical Cap given Volume and Surface to Volume Ratio formula is defined as the total quantity of two dimensional space enclosed on the base and curved surfaces of the Spherical Cap, and calculated using the volume and surface to volume ratio of the Spherical Cap is calculated using Total Surface Area of Spherical Cap = Surface to Volume Ratio of Spherical Cap*Volume of Spherical Cap. To calculate Total Surface Area of Spherical Cap given Volume and Surface to Volume Ratio, you need Surface to Volume Ratio of Spherical Cap (RA/V) & Volume of Spherical Cap (V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Spherical Cap & Volume of Spherical Cap 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 Spherical Cap?
In this formula, Total Surface Area of Spherical Cap uses Surface to Volume Ratio of Spherical Cap & Volume of Spherical Cap. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Total Surface Area of Spherical Cap = pi*((2*Sphere Radius of Spherical Cap*Height of Spherical Cap)+Cap Radius of Spherical Cap^2)
  • Total Surface Area of Spherical Cap = (4*pi*Sphere Radius of Spherical Cap*Height of Spherical Cap)-(pi*Height of Spherical Cap^2)
  • Total Surface Area of Spherical Cap = pi/3*Surface to Volume Ratio of Spherical Cap*Height of Spherical Cap^2*((3*Sphere Radius of Spherical Cap)-Height of Spherical Cap)
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