Volume of Hemisphere given Surface to Volume Ratio Calculator

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

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✖Volume of Hemisphere is the total quantity of three dimensional space enclosed by the surface of the Hemisphere.ⓘ Volume of Hemisphere given Surface to Volume Ratio [V]

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Formula

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Volume of Hemisphere given Surface to Volume Ratio

Formula

`"V" = 2/3*pi*(9/(2*"R"_{"A/V"}))^3`

Example

`"261.7994m³"=2/3*pi*(9/(2*"0.9m⁻¹"))^3`

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Volume of Hemisphere given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Hemisphere = 2/3*pi*(9/(2*Surface to Volume Ratio of Hemisphere))^3
V = 2/3*pi*(9/(2*R_A/V))^3
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Volume of Hemisphere - (Measured in Cubic Meter) - Volume of Hemisphere is the total quantity of three dimensional space enclosed by the surface of the Hemisphere.
Surface to Volume Ratio of Hemisphere - (Measured in 1 per Meter) - Surface to Volume Ratio of Hemisphere is the numerical ratio of the total surface area of Hemisphere to the volume of Hemisphere.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Hemisphere: 0.9 1 per Meter --> 0.9 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 2/3*pi*(9/(2*R_A/V))^3 --> 2/3*pi*(9/(2*0.9))^3

Evaluating ... ...

V = 261.799387799149

STEP 3: Convert Result to Output's Unit

261.799387799149 Cubic Meter --> No Conversion Required

FINAL ANSWER

261.799387799149 ≈ 261.7994 Cubic Meter <-- Volume of Hemisphere

(Calculation completed in 00.004 seconds)

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Created by Nikhil

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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< 6 Volume of Hemisphere Calculators

Volume of Hemisphere given Curved Surface Area

Go Volume of Hemisphere = 2/3*pi*(Curved Surface Area of Hemisphere/(2*pi))^(3/2)

Volume of Hemisphere given Total Surface Area

Go Volume of Hemisphere = 2/3*pi*(Total Surface Area of Hemisphere/(3*pi))^(3/2)

Volume of Hemisphere given Circumference

Go Volume of Hemisphere = (2*pi)/3*(Circumference of Hemisphere/(2*pi))^3

Volume of Hemisphere given Surface to Volume Ratio

Go Volume of Hemisphere = 2/3*pi*(9/(2*Surface to Volume Ratio of Hemisphere))^3

Volume of Hemisphere given Diameter

Go Volume of Hemisphere = 2/3*pi*(Diameter of Hemisphere/2)^3

Volume of Hemisphere

Go Volume of Hemisphere = 2/3*pi*Radius of Hemisphere^3

Volume of Hemisphere given Surface to Volume Ratio Formula

Volume of Hemisphere = 2/3*pi*(9/(2*Surface to Volume Ratio of Hemisphere))^3
V = 2/3*pi*(9/(2*R_A/V))^3

What is a Hemisphere?

A sphere is defined as a set of points in three-dimension, and all the points lying on the surface is equidistant from the centre. When a plane cuts across the sphere at the centre or equal parts, it forms a Hemisphere. We can say, a Hemisphere is exactly half of a sphere.

What is Volume of a Hemisphere?

When a plane cuts across the sphere at the center or equal parts, it forms a hemisphere. We can say, a hemisphere is exactly half of a sphere. The volume of the hemisphere is derived by Archimedes and is half of the volume of a sphere. The volume V of a hemisphere is two-thirds times pi times the radius cubed.

How to Calculate Volume of Hemisphere given Surface to Volume Ratio?

Volume of Hemisphere given Surface to Volume Ratio calculator uses Volume of Hemisphere = 2/3*pi*(9/(2*Surface to Volume Ratio of Hemisphere))^3 to calculate the Volume of Hemisphere, The Volume of Hemisphere given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Hemisphere, and calculated using the surface to volume ratio of Hemisphere. Volume of Hemisphere is denoted by V symbol.

How to calculate Volume of Hemisphere given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Hemisphere given Surface to Volume Ratio, enter Surface to Volume Ratio of Hemisphere (R_A/V) and hit the calculate button. Here is how the Volume of Hemisphere given Surface to Volume Ratio calculation can be explained with given input values -> 261.7994 = 2/3*pi*(9/(2*0.9))^3.

FAQ

What is Volume of Hemisphere given Surface to Volume Ratio?

The Volume of Hemisphere given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Hemisphere, and calculated using the surface to volume ratio of Hemisphere and is represented as V = 2/3*pi*(9/(2*R_A/V))^3 or Volume of Hemisphere = 2/3*pi*(9/(2*Surface to Volume Ratio of Hemisphere))^3. Surface to Volume Ratio of Hemisphere is the numerical ratio of the total surface area of Hemisphere to the volume of Hemisphere.

How to calculate Volume of Hemisphere given Surface to Volume Ratio?

The Volume of Hemisphere given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Hemisphere, and calculated using the surface to volume ratio of Hemisphere is calculated using Volume of Hemisphere = 2/3*pi*(9/(2*Surface to Volume Ratio of Hemisphere))^3. To calculate Volume of Hemisphere given Surface to Volume Ratio, you need Surface to Volume Ratio of Hemisphere (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of 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 Volume of Hemisphere?

In this formula, Volume of Hemisphere uses Surface to Volume Ratio of Hemisphere. We can use 5 other way(s) to calculate the same, which is/are as follows -

Volume of Hemisphere = 2/3*pi*Radius of Hemisphere^3
Volume of Hemisphere = 2/3*pi*(Diameter of Hemisphere/2)^3
Volume of Hemisphere = 2/3*pi*(Curved Surface Area of Hemisphere/(2*pi))^(3/2)
Volume of Hemisphere = 2/3*pi*(Total Surface Area of Hemisphere/(3*pi))^(3/2)
Volume of Hemisphere = (2*pi)/3*(Circumference of Hemisphere/(2*pi))^3

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