Surface to Volume Ratio of Spherical Segment Calculator

✖Radius of Spherical Segment is the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded.ⓘ Radius of Spherical Segment [r]			+10% -10%
✖Height of Spherical Segment is the vertical distance between top and bottom circular faces of the Spherical Segment.ⓘ Height of Spherical Segment [h]			+10% -10%
✖Base Radius of Spherical Segment is a radial line from the center to any point on the circumference of the base of the Spherical Segment.ⓘ Base Radius of Spherical Segment [r_Base]			+10% -10%
✖Top Radius of Spherical Segment is a radial line from the center to any point on the circumference of the top base of a Spherical Segment.ⓘ Top Radius of Spherical Segment [r_Top]			+10% -10%

✖Surface to Volume Ratio of Spherical Segment is the numerical ratio of the total surface area of Spherical Segment to the volume of the Spherical Segment.ⓘ Surface to Volume Ratio of Spherical Segment [R_A/V]

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Formula

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Surface to Volume Ratio of Spherical Segment

Formula

`"R"_{"A/V"} = ((2*"r"*"h")+"r"_{"Base"}^2+"r"_{"Top"}^2)/("h"/6*(3*"r"_{"Top"}^2+3*"r"_{"Base"}^2+"h"^2))`

Example

`"0.612766m⁻¹"=((2*"10m"*"5m")+("10m")^2+("8m")^2)/("5m"/6*(3*("8m")^2+3*("10m")^2+("5m")^2))`

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Surface to Volume Ratio of Spherical Segment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Spherical Segment = ((2*Radius of Spherical Segment*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)/(Height of Spherical Segment/6*(3*Top Radius of Spherical Segment^2+3*Base Radius of Spherical Segment^2+Height of Spherical Segment^2))
R_A/V = ((2*r*h)+r_Base^2+r_Top^2)/(h/6*(3*r_Top^2+3*r_Base^2+h^2))
This formula uses 5 Variables

Variables Used

Surface to Volume Ratio of Spherical Segment - (Measured in 1 per Meter) - Surface to Volume Ratio of Spherical Segment is the numerical ratio of the total surface area of Spherical Segment to the volume of the Spherical Segment.
Radius of Spherical Segment - (Measured in Meter) - Radius of Spherical Segment is the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded.
Height of Spherical Segment - (Measured in Meter) - Height of Spherical Segment is the vertical distance between top and bottom circular faces of the Spherical Segment.
Base Radius of Spherical Segment - (Measured in Meter) - Base Radius of Spherical Segment is a radial line from the center to any point on the circumference of the base of the Spherical Segment.
Top Radius of Spherical Segment - (Measured in Meter) - Top Radius of Spherical Segment is a radial line from the center to any point on the circumference of the top base of a Spherical Segment.

STEP 1: Convert Input(s) to Base Unit

Radius of Spherical Segment: 10 Meter --> 10 Meter No Conversion Required
Height of Spherical Segment: 5 Meter --> 5 Meter No Conversion Required
Base Radius of Spherical Segment: 10 Meter --> 10 Meter No Conversion Required
Top Radius of Spherical Segment: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = ((2*r*h)+r_Base^2+r_Top^2)/(h/6*(3*r_Top^2+3*r_Base^2+h^2)) --> ((2*10*5)+10^2+8^2)/(5/6*(3*8^2+3*10^2+5^2))

Evaluating ... ...

R_A/V = 0.612765957446809

STEP 3: Convert Result to Output's Unit

0.612765957446809 1 per Meter --> No Conversion Required

FINAL ANSWER

0.612765957446809 ≈ 0.612766 1 per Meter <-- Surface to Volume Ratio of Spherical Segment

(Calculation completed in 00.004 seconds)

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Mumbai University (DJSCE), Mumbai

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 2 Surface to Volume Ratio of Spherical Segment Calculators

Surface to Volume Ratio of Spherical Segment given Center to Base and Top to Top Radius Length

Go Surface to Volume Ratio of Spherical Segment = ((2*(Center to Base Radius Length of Spherical Segment+Height of Spherical Segment+Top to Top Radius Length of Spherical Segment)*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)/(Height of Spherical Segment/6*(3*Top Radius of Spherical Segment^2+3*Base Radius of Spherical Segment^2+Height of Spherical Segment^2))

Surface to Volume Ratio of Spherical Segment

Go Surface to Volume Ratio of Spherical Segment = ((2*Radius of Spherical Segment*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)/(Height of Spherical Segment/6*(3*Top Radius of Spherical Segment^2+3*Base Radius of Spherical Segment^2+Height of Spherical Segment^2))

Surface to Volume Ratio of Spherical Segment Formula

What is Spherical Segment?

In geometry, a Spherical Segment is the solid defined by cutting a sphere with a pair of parallel planes . It can be thought of as a spherical cap with the top truncated, and so it corresponds to a spherical frustum.

How to Calculate Surface to Volume Ratio of Spherical Segment?

Surface to Volume Ratio of Spherical Segment calculator uses Surface to Volume Ratio of Spherical Segment = ((2*Radius of Spherical Segment*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)/(Height of Spherical Segment/6*(3*Top Radius of Spherical Segment^2+3*Base Radius of Spherical Segment^2+Height of Spherical Segment^2)) to calculate the Surface to Volume Ratio of Spherical Segment, The Surface to Volume Ratio of Spherical Segment formula is defined as the numerical ratio of the total surface area of Spherical Segment to the volume of the Spherical Segment. Surface to Volume Ratio of Spherical Segment is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Spherical Segment using this online calculator? To use this online calculator for Surface to Volume Ratio of Spherical Segment, enter Radius of Spherical Segment (r), Height of Spherical Segment (h), Base Radius of Spherical Segment (r_Base) & Top Radius of Spherical Segment (r_Top) and hit the calculate button. Here is how the Surface to Volume Ratio of Spherical Segment calculation can be explained with given input values -> 0.612766 = ((2*10*5)+10^2+8^2)/(5/6*(3*8^2+3*10^2+5^2)).

FAQ

What is Surface to Volume Ratio of Spherical Segment?

The Surface to Volume Ratio of Spherical Segment formula is defined as the numerical ratio of the total surface area of Spherical Segment to the volume of the Spherical Segment and is represented as R_A/V = ((2*r*h)+r_Base^2+r_Top^2)/(h/6*(3*r_Top^2+3*r_Base^2+h^2)) or Surface to Volume Ratio of Spherical Segment = ((2*Radius of Spherical Segment*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)/(Height of Spherical Segment/6*(3*Top Radius of Spherical Segment^2+3*Base Radius of Spherical Segment^2+Height of Spherical Segment^2)). Radius of Spherical Segment is the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded, Height of Spherical Segment is the vertical distance between top and bottom circular faces of the Spherical Segment, Base Radius of Spherical Segment is a radial line from the center to any point on the circumference of the base of the Spherical Segment & Top Radius of Spherical Segment is a radial line from the center to any point on the circumference of the top base of a Spherical Segment.

How to calculate Surface to Volume Ratio of Spherical Segment?

The Surface to Volume Ratio of Spherical Segment formula is defined as the numerical ratio of the total surface area of Spherical Segment to the volume of the Spherical Segment is calculated using Surface to Volume Ratio of Spherical Segment = ((2*Radius of Spherical Segment*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)/(Height of Spherical Segment/6*(3*Top Radius of Spherical Segment^2+3*Base Radius of Spherical Segment^2+Height of Spherical Segment^2)). To calculate Surface to Volume Ratio of Spherical Segment, you need Radius of Spherical Segment (r), Height of Spherical Segment (h), Base Radius of Spherical Segment (r_Base) & Top Radius of Spherical Segment (r_Top). With our tool, you need to enter the respective value for Radius of Spherical Segment, Height of Spherical Segment, Base Radius of Spherical Segment & Top Radius of Spherical Segment 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 Segment?

In this formula, Surface to Volume Ratio of Spherical Segment uses Radius of Spherical Segment, Height of Spherical Segment, Base Radius of Spherical Segment & Top Radius of Spherical Segment. We can use 1 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Spherical Segment = ((2*(Center to Base Radius Length of Spherical Segment+Height of Spherical Segment+Top to Top Radius Length of Spherical Segment)*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)/(Height of Spherical Segment/6*(3*Top Radius of Spherical Segment^2+3*Base Radius of Spherical Segment^2+Height of Spherical Segment^2))

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