Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius Calculator

✖Sphere Radius of Spherical Cap is the radius of the sphere from which the Spherical Cap shape is cut.ⓘ Sphere Radius of Spherical Cap [r_Sphere]			+10% -10%
✖Curved Surface Area of Spherical Cap is the total quantity of two dimensional space enclosed on the curved surface of the Spherical Cap.ⓘ Curved Surface Area of Spherical Cap [CSA]			+10% -10%
✖Cap Radius of Spherical Cap is the radius of the base circle of a Spherical Cap.ⓘ Cap Radius of Spherical Cap [r_Cap]			+10% -10%

✖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.ⓘ Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius [R_A/V]

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Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Spherical Cap = (24*pi^2*Sphere Radius of Spherical Cap^3*(Curved Surface Area of Spherical Cap+(pi*Cap Radius of Spherical Cap^2)))/(Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap))
R_A/V = (24*pi^2*r_Sphere^3*(CSA+(pi*r_Cap^2)))/(CSA^2*((6*pi*r_Sphere^2)-CSA))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Sphere Radius of Spherical Cap - (Measured in Meter) - Sphere Radius of Spherical Cap is the radius of the sphere from which the Spherical Cap shape is cut.
Curved Surface Area of Spherical Cap - (Measured in Square Meter) - Curved Surface Area of Spherical Cap is the total quantity of two dimensional space enclosed on the curved surface of the Spherical Cap.
Cap Radius of Spherical Cap - (Measured in Meter) - Cap Radius of Spherical Cap is the radius of the base circle of a Spherical Cap.

STEP 1: Convert Input(s) to Base Unit

Sphere Radius of Spherical Cap: 10 Meter --> 10 Meter No Conversion Required
Curved Surface Area of Spherical Cap: 250 Square Meter --> 250 Square Meter No Conversion Required
Cap Radius of Spherical Cap: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (24*pi^2*r_Sphere^3*(CSA+(pi*r_Cap^2)))/(CSA^2*((6*pi*r_Sphere^2)-CSA)) --> (24*pi^2*10^3*(250+(pi*8^2)))/(250^2*((6*pi*10^2)-250))

Evaluating ... ...

R_A/V = 1.04558942542749

STEP 3: Convert Result to Output's Unit

1.04558942542749 1 per Meter --> No Conversion Required

FINAL ANSWER

1.04558942542749 ≈ 1.045589 1 per Meter <-- Surface to Volume Ratio of Spherical Cap

(Calculation completed in 00.007 seconds)

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< Surface to Volume Ratio of Spherical Cap Calculators

Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius

LaTeX Go Surface to Volume Ratio of Spherical Cap = (24*pi^2*Sphere Radius of Spherical Cap^3*(Curved Surface Area of Spherical Cap+(pi*Cap Radius of Spherical Cap^2)))/(Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap))

Surface to Volume Ratio of Spherical Cap given Curved Surface Area

LaTeX Go Surface to Volume Ratio of Spherical Cap = (24*pi^2*Sphere Radius of Spherical Cap^3*((2*Curved Surface Area of Spherical Cap)-(pi*Height of Spherical Cap^2)))/(Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap))

Surface to Volume Ratio of Spherical Cap given Cap Radius

LaTeX Go Surface to Volume Ratio of Spherical Cap = (3*((2*Sphere Radius of Spherical Cap*Height of Spherical Cap)+Cap Radius of Spherical Cap^2))/(Height of Spherical Cap^2*((3*Sphere Radius of Spherical Cap)-Height of Spherical Cap))

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

LaTeX Go Surface to Volume Ratio of Spherical Cap = Total Surface Area of Spherical Cap/Volume of Spherical Cap

Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius Formula

LaTeX Go

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 Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius?

Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius calculator uses Surface to Volume Ratio of Spherical Cap = (24*pi^2*Sphere Radius of Spherical Cap^3*(Curved Surface Area of Spherical Cap+(pi*Cap Radius of Spherical Cap^2)))/(Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap)) to calculate the Surface to Volume Ratio of Spherical Cap, Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius formula is defined as the numerical ratio of the total surface area of a Spherical Cap to the volume of the Spherical Cap, and calculated using the curved surface area, cap radius and sphere radius of the Spherical Cap. Surface to Volume Ratio of Spherical Cap is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius, enter Sphere Radius of Spherical Cap (r_Sphere), Curved Surface Area of Spherical Cap (CSA) & Cap Radius of Spherical Cap (r_Cap) and hit the calculate button. Here is how the Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius calculation can be explained with given input values -> 1.045589 = (24*pi^2*10^3*(250+(pi*8^2)))/(250^2*((6*pi*10^2)-250)).

FAQ

What is Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius?

Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius formula is defined as the numerical ratio of the total surface area of a Spherical Cap to the volume of the Spherical Cap, and calculated using the curved surface area, cap radius and sphere radius of the Spherical Cap and is represented as R_A/V = (24*pi^2*r_Sphere^3*(CSA+(pi*r_Cap^2)))/(CSA^2*((6*pi*r_Sphere^2)-CSA)) or Surface to Volume Ratio of Spherical Cap = (24*pi^2*Sphere Radius of Spherical Cap^3*(Curved Surface Area of Spherical Cap+(pi*Cap Radius of Spherical Cap^2)))/(Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap)). Sphere Radius of Spherical Cap is the radius of the sphere from which the Spherical Cap shape is cut, Curved Surface Area of Spherical Cap is the total quantity of two dimensional space enclosed on the curved surface of the Spherical Cap & Cap Radius of Spherical Cap is the radius of the base circle of a Spherical Cap.

How to calculate Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius?

Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius formula is defined as the numerical ratio of the total surface area of a Spherical Cap to the volume of the Spherical Cap, and calculated using the curved surface area, cap radius and sphere radius of the Spherical Cap is calculated using Surface to Volume Ratio of Spherical Cap = (24*pi^2*Sphere Radius of Spherical Cap^3*(Curved Surface Area of Spherical Cap+(pi*Cap Radius of Spherical Cap^2)))/(Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap)). To calculate Surface to Volume Ratio of Spherical Cap given Curved Surface Area and Cap Radius, you need Sphere Radius of Spherical Cap (r_Sphere), Curved Surface Area of Spherical Cap (CSA) & Cap Radius of Spherical Cap (r_Cap). With our tool, you need to enter the respective value for Sphere Radius of Spherical Cap, Curved Surface Area of Spherical Cap & Cap Radius 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 Surface to Volume Ratio of Spherical Cap?

In this formula, Surface to Volume Ratio of Spherical Cap uses Sphere Radius of Spherical Cap, Curved Surface Area of Spherical Cap & Cap Radius of Spherical Cap. We can use 3 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Spherical Cap = (3*((2*Sphere Radius of Spherical Cap*Height of Spherical Cap)+Cap Radius of Spherical Cap^2))/(Height of Spherical Cap^2*((3*Sphere Radius of Spherical Cap)-Height of Spherical Cap))
Surface to Volume Ratio of Spherical Cap = (24*pi^2*Sphere Radius of Spherical Cap^3*((2*Curved Surface Area of Spherical Cap)-(pi*Height of Spherical Cap^2)))/(Curved Surface Area of Spherical Cap^2*((6*pi*Sphere Radius of Spherical Cap^2)-Curved Surface Area of Spherical Cap))
Surface to Volume Ratio of Spherical Cap = Total Surface Area of Spherical Cap/Volume of Spherical Cap

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