Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Inner Radius Calculator

✖Shell Thickness of Hollow Hemisphere is the radial distance between the outer and inner surfaces of the Hollow Hemisphere.ⓘ Shell Thickness of Hollow Hemisphere [t_Shell]			+10% -10%
✖Inner Radius of Hollow Hemisphere is a line segment from the center to a point on the curved surface of the inner circular base of Hollow Hemisphere.ⓘ Inner Radius of Hollow Hemisphere [r_Inner]			+10% -10%

✖Surface to Volume Ratio of Hollow Hemisphere is the fraction of the surface area to the volume of the Hollow Hemisphere.ⓘ Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Inner Radius [R_A/V]

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Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Inner Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Hollow Hemisphere = (3*(Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^2+Inner Radius of Hollow Hemisphere^2)/(2/3*((Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^3-Inner Radius of Hollow Hemisphere^3))
R_A/V = (3*(t_Shell+r_Inner)^2+r_Inner^2)/(2/3*((t_Shell+r_Inner)^3-r_Inner^3))
This formula uses 3 Variables

Variables Used

Surface to Volume Ratio of Hollow Hemisphere - (Measured in 1 per Meter) - Surface to Volume Ratio of Hollow Hemisphere is the fraction of the surface area to the volume of the Hollow Hemisphere.
Shell Thickness of Hollow Hemisphere - (Measured in Meter) - Shell Thickness of Hollow Hemisphere is the radial distance between the outer and inner surfaces of the Hollow Hemisphere.
Inner Radius of Hollow Hemisphere - (Measured in Meter) - Inner Radius of Hollow Hemisphere is a line segment from the center to a point on the curved surface of the inner circular base of Hollow Hemisphere.

STEP 1: Convert Input(s) to Base Unit

Shell Thickness of Hollow Hemisphere: 2 Meter --> 2 Meter No Conversion Required
Inner Radius of Hollow Hemisphere: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (3*(t_Shell+r_Inner)^2+r_Inner^2)/(2/3*((t_Shell+r_Inner)^3-r_Inner^3)) --> (3*(2+10)^2+10^2)/(2/3*((2+10)^3-10^3))

Evaluating ... ...

R_A/V = 1.09615384615385

STEP 3: Convert Result to Output's Unit

1.09615384615385 1 per Meter --> No Conversion Required

FINAL ANSWER

1.09615384615385 ≈ 1.096154 1 per Meter <-- Surface to Volume Ratio of Hollow Hemisphere

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Surface to Volume Ratio of Hollow Hemisphere Calculators

Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Outer Radius

LaTeX Go Surface to Volume Ratio of Hollow Hemisphere = (3*Outer Radius of Hollow Hemisphere^2+(Outer Radius of Hollow Hemisphere-Shell Thickness of Hollow Hemisphere)^2)/(2/3*(Outer Radius of Hollow Hemisphere^3-(Outer Radius of Hollow Hemisphere-Shell Thickness of Hollow Hemisphere)^3))

Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Inner Radius

LaTeX Go Surface to Volume Ratio of Hollow Hemisphere = (3*(Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^2+Inner Radius of Hollow Hemisphere^2)/(2/3*((Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^3-Inner Radius of Hollow Hemisphere^3))

Surface to Volume Ratio of Hollow Hemisphere given Volume and Inner Radius

LaTeX Go Surface to Volume Ratio of Hollow Hemisphere = (3*((3*Volume of Hollow Hemisphere)/(2*pi)+Inner Radius of Hollow Hemisphere^3)^(2/3)+Inner Radius of Hollow Hemisphere^2)/(Volume of Hollow Hemisphere/pi)

Surface to Volume Ratio of Hollow Hemisphere

LaTeX Go Surface to Volume Ratio of Hollow Hemisphere = (3*Outer Radius of Hollow Hemisphere^2+Inner Radius of Hollow Hemisphere^2)/(2/3*(Outer Radius of Hollow Hemisphere^3-Inner Radius of Hollow Hemisphere^3))

Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Inner Radius Formula

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What is Hollow Hemisphere?

A Hollow Hemisphere is a three-dimensional object with only the outer circular bowl boundary, and nothing is filled inside. It is made of two hemispheres of different sizes and with the same center and same slice plane, where the smaller hemisphere is subtracted from the larger.

How to Calculate Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Inner Radius?

Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Inner Radius calculator uses Surface to Volume Ratio of Hollow Hemisphere = (3*(Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^2+Inner Radius of Hollow Hemisphere^2)/(2/3*((Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^3-Inner Radius of Hollow Hemisphere^3)) to calculate the Surface to Volume Ratio of Hollow Hemisphere, Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Inner Radius formula is defined as the numerical ratio of the surface area of the Hollow Hemisphere to the volume of the Hollow Hemisphere, calculated using the shell thickness and inner radius of the Hollow Hemisphere. Surface to Volume Ratio of Hollow Hemisphere is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Inner Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Inner Radius, enter Shell Thickness of Hollow Hemisphere (t_Shell) & Inner Radius of Hollow Hemisphere (r_Inner) and hit the calculate button. Here is how the Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Inner Radius calculation can be explained with given input values -> 1.096154 = (3*(2+10)^2+10^2)/(2/3*((2+10)^3-10^3)).

FAQ

What is Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Inner Radius?

Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Inner Radius formula is defined as the numerical ratio of the surface area of the Hollow Hemisphere to the volume of the Hollow Hemisphere, calculated using the shell thickness and inner radius of the Hollow Hemisphere and is represented as R_A/V = (3*(t_Shell+r_Inner)^2+r_Inner^2)/(2/3*((t_Shell+r_Inner)^3-r_Inner^3)) or Surface to Volume Ratio of Hollow Hemisphere = (3*(Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^2+Inner Radius of Hollow Hemisphere^2)/(2/3*((Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^3-Inner Radius of Hollow Hemisphere^3)). Shell Thickness of Hollow Hemisphere is the radial distance between the outer and inner surfaces of the Hollow Hemisphere & Inner Radius of Hollow Hemisphere is a line segment from the center to a point on the curved surface of the inner circular base of Hollow Hemisphere.

How to calculate Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Inner Radius?

Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Inner Radius formula is defined as the numerical ratio of the surface area of the Hollow Hemisphere to the volume of the Hollow Hemisphere, calculated using the shell thickness and inner radius of the Hollow Hemisphere is calculated using Surface to Volume Ratio of Hollow Hemisphere = (3*(Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^2+Inner Radius of Hollow Hemisphere^2)/(2/3*((Shell Thickness of Hollow Hemisphere+Inner Radius of Hollow Hemisphere)^3-Inner Radius of Hollow Hemisphere^3)). To calculate Surface to Volume Ratio of Hollow Hemisphere given Shell Thickness and Inner Radius, you need Shell Thickness of Hollow Hemisphere (t_Shell) & Inner Radius of Hollow Hemisphere (r_Inner). With our tool, you need to enter the respective value for Shell Thickness of Hollow Hemisphere & Inner Radius of Hollow Hemisphere 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 Hollow Hemisphere?

In this formula, Surface to Volume Ratio of Hollow Hemisphere uses Shell Thickness of Hollow Hemisphere & Inner Radius of Hollow Hemisphere. We can use 3 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Hollow Hemisphere = (3*Outer Radius of Hollow Hemisphere^2+Inner Radius of Hollow Hemisphere^2)/(2/3*(Outer Radius of Hollow Hemisphere^3-Inner Radius of Hollow Hemisphere^3))
Surface to Volume Ratio of Hollow Hemisphere = (3*Outer Radius of Hollow Hemisphere^2+(Outer Radius of Hollow Hemisphere-Shell Thickness of Hollow Hemisphere)^2)/(2/3*(Outer Radius of Hollow Hemisphere^3-(Outer Radius of Hollow Hemisphere-Shell Thickness of Hollow Hemisphere)^3))
Surface to Volume Ratio of Hollow Hemisphere = (3*((3*Volume of Hollow Hemisphere)/(2*pi)+Inner Radius of Hollow Hemisphere^3)^(2/3)+Inner Radius of Hollow Hemisphere^2)/(Volume of Hollow Hemisphere/pi)

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