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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. Check FAQs
TSA=π3⋅RA/V⋅h2⋅((3⋅rSphere)-h)
TSA - Total Surface Area of Spherical Cap?RA/V - Surface to Volume Ratio of Spherical Cap?h - Height of Spherical Cap?rSphere - Sphere Radius of Spherical Cap?π - Archimedes' constant?

Total Surface Area of Spherical Cap given Surface to Volume Ratio Example

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Here is how the Total Surface Area of Spherical Cap given Surface to Volume Ratio equation looks like with Values.

Here is how the Total Surface Area of Spherical Cap given Surface to Volume Ratio equation looks like with Units.

Here is how the Total Surface Area of Spherical Cap given Surface to Volume Ratio equation looks like.

479.1976Edit=3.14163⋅1.1Edit⋅4Edit2⋅((3⋅10Edit)-4Edit)
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Total Surface Area of Spherical Cap given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Total Surface Area of Spherical Cap given Surface to Volume Ratio?

FIRST Step Consider the formula
TSA=π3⋅RA/V⋅h2⋅((3⋅rSphere)-h)
Next Step Substitute values of Variables
∴ TSA=π3⋅1.1m⁻¹⋅4m2⋅((3⋅10m)-4m)
Next Step Substitute values of Constants
∴ TSA=3.14163⋅1.1m⁻¹⋅4m2⋅((3⋅10m)-4m)
Next Step Prepare to Evaluate
∴ TSA=3.14163⋅1.1⋅42⋅((3⋅10)-4)
Next Step Evaluate
∴TSA=479.197599427563m²
LAST Step Rounding Answer
∴TSA=479.1976m²

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

Variables
Constants
Total Surface Area of Spherical Cap
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.
Symbol: TSA
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Total Surface Area of Spherical CapOpen Variable
Surface to Volume Ratio 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.
Symbol: RA/V
Measurement: Reciprocal LengthUnit: m⁻¹
Note: Value should be greater than 0.
Formulas to find Surface to Volume Ratio of Spherical CapOpen Variable
Height of Spherical Cap
Height of Spherical Cap is the maximum vertical distance from the base circle to the curved surface of the Spherical Cap.
Symbol: h
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Height of Spherical CapOpen Variable
Sphere Radius of Spherical Cap
Sphere Radius of Spherical Cap is the radius of the sphere from which the Spherical Cap shape is cut.
Symbol: rSphere
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Sphere Radius of Spherical CapOpen Variable
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other Formulas to find Total Surface Area of Spherical Cap

​Go Total Surface Area of Spherical Cap given Cap Radius
TSA=π⋅((2⋅rSphere⋅h)+rCap2)
​Go Total Surface Area of Spherical Cap given Volume and Surface to Volume Ratio
TSA=RA/V⋅V
​Go Total Surface Area of Spherical Cap
TSA=(4⋅π⋅rSphere⋅h)-(π⋅h2)
​Go Total Surface Area of Spherical Cap given Curved Surface Area and Cap Radius
TSA=CSA+(π⋅rCap2)

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

Total Surface Area of Spherical Cap given Surface to Volume Ratio evaluator uses 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) to evaluate the Total Surface Area of Spherical Cap, Total Surface Area of Spherical Cap given 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 surface to volume ratio, sphere radius and height of the Spherical Cap. Total Surface Area of Spherical Cap is denoted by TSA symbol.

How to evaluate Total Surface Area of Spherical Cap given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Total Surface Area of Spherical Cap given Surface to Volume Ratio, enter Surface to Volume Ratio of Spherical Cap (RA/V), Height of Spherical Cap (h) & Sphere Radius of Spherical Cap (rSphere) and hit the calculate button.

FAQs on Total Surface Area of Spherical Cap given Surface to Volume Ratio

What is the formula to find Total Surface Area of Spherical Cap given Surface to Volume Ratio?
The formula of Total Surface Area of Spherical Cap given Surface to Volume Ratio is expressed as 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). Here is an example- 479.1976 = pi/3*1.1*4^2*((3*10)-4).
How to calculate Total Surface Area of Spherical Cap given Surface to Volume Ratio?
With Surface to Volume Ratio of Spherical Cap (RA/V), Height of Spherical Cap (h) & Sphere Radius of Spherical Cap (rSphere) we can find Total Surface Area of Spherical Cap given Surface to Volume Ratio using the formula - 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). This formula also uses Archimedes' constant .
What are the other ways to Calculate Total Surface Area of Spherical Cap?
Here are the different ways to Calculate Total Surface Area of Spherical Cap-
  • Total Surface Area of Spherical Cap=pi*((2*Sphere Radius of Spherical Cap*Height of Spherical Cap)+Cap Radius of Spherical Cap^2)OpenImg
  • Total Surface Area of Spherical Cap=Surface to Volume Ratio of Spherical Cap*Volume of Spherical CapOpenImg
  • Total Surface Area of Spherical Cap=(4*pi*Sphere Radius of Spherical Cap*Height of Spherical Cap)-(pi*Height of Spherical Cap^2)OpenImg
Can the Total Surface Area of Spherical Cap given Surface to Volume Ratio be negative?
No, the Total Surface Area of Spherical Cap given Surface to Volume Ratio, measured in Area cannot be negative.
Which unit is used to measure Total Surface Area of Spherical Cap given Surface to Volume Ratio?
Total Surface Area of Spherical Cap given Surface to Volume Ratio is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Spherical Cap given Surface to Volume Ratio can be measured.
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