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Volume of Hollow Hemisphere given Total Surface Area and Outer Radius Formula

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GoVolume of Hollow Hemisphere given Shell Thickness and Inner Radius Formula

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Volume of Hollow Hemisphere is the measure of three-dimensional space enclosed by all the faces of the Hollow Hemisphere. Check FAQs

V = \frac{2}{3} \cdot π \cdot ({r Outer}^{3} - {(\sqrt{(\frac{TSA}{π}) - (3 \cdot {r Outer}^{2})})}^{3})

V - Volume of Hollow Hemisphere?r_Outer - Outer Radius of Hollow Hemisphere?TSA - Total Surface Area of Hollow Hemisphere?π - Archimedes' constant?

Volume of Hollow Hemisphere given Total Surface Area and Outer Radius Example

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Here is how the Volume of Hollow Hemisphere given Total Surface Area and Outer Radius equation looks like with Values.

Here is how the Volume of Hollow Hemisphere given Total Surface Area and Outer Radius equation looks like with Units.

Here is how the Volume of Hollow Hemisphere given Total Surface Area and Outer Radius equation looks like.

1537.9785 = \frac{2}{3} \cdot 3.1416 \cdot (12^{3} - {(\sqrt{(\frac{1670}{3.1416}) - (3 \cdot 12^{2})})}^{3})

1537.9785m³ = \frac{2}{3} \cdot 3.1416 \cdot ({12m}^{3} - {(\sqrt{(\frac{1670m²}{3.1416}) - (3 \cdot {12m}^{2})})}^{3})

1537.9785 = \frac{2}{3} \cdot 3.1416 \cdot (12^{3} - {(\sqrt{(\frac{1670}{3.1416}) - (3 \cdot 12^{2})})}^{3})

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3D Geometry » fx Volume of Hollow Hemisphere given Total Surface Area and Outer Radius

Volume of Hollow Hemisphere given Total Surface Area and Outer Radius Solution

Follow our step by step solution on how to calculate Volume of Hollow Hemisphere given Total Surface Area and Outer Radius?

FIRST Step Consider the formula

V = \frac{2}{3} \cdot π \cdot ({r Outer}^{3} - {(\sqrt{(\frac{TSA}{π}) - (3 \cdot {r Outer}^{2})})}^{3})

Next Step Substitute values of Variables

∴

V = \frac{2}{3} \cdot π \cdot ({12m}^{3} - {(\sqrt{(\frac{1670m²}{π}) - (3 \cdot {12m}^{2})})}^{3})

Next Step Substitute values of Constants

∴

V = \frac{2}{3} \cdot 3.1416 \cdot ({12m}^{3} - {(\sqrt{(\frac{1670m²}{3.1416}) - (3 \cdot {12m}^{2})})}^{3})

Next Step Prepare to Evaluate

∴

V = \frac{2}{3} \cdot 3.1416 \cdot (12^{3} - {(\sqrt{(\frac{1670}{3.1416}) - (3 \cdot 12^{2})})}^{3})

Next Step Evaluate

∴

V = 1537.97852256337m³

LAST Step Rounding Answer

∴

V = 1537.9785m³

Volume of Hollow Hemisphere given Total Surface Area and Outer Radius Formula Elements

Variables

Constants

Functions

Volume of Hollow Hemisphere

Volume of Hollow Hemisphere is the measure of three-dimensional space enclosed by all the faces of the Hollow Hemisphere.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hollow Hemisphere

Outer Radius of Hollow Hemisphere

Outer Radius of Hollow Hemisphere is a line segment from the center to a point on the curved surface of the outer circular base of the Hollow Hemisphere.

Symbol: r_Outer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius of Hollow Hemisphere

Total Surface Area of Hollow Hemisphere

Total Surface Area of Hollow Hemisphere is the measure of the total amount of space occupied by all the faces of the Hollow Hemisphere.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Hollow Hemisphere

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Volume of Hollow Hemisphere

Go Volume of Hollow Hemisphere

V = \frac{2}{3} \cdot π \cdot ({r Outer}^{3} - {r Inner}^{3})

Go Volume of Hollow Hemisphere given Shell Thickness and Inner Radius

V = \frac{2}{3} \cdot π \cdot ({(t Shell + r Inner)}^{3} - {r Inner}^{3})

How to Evaluate Volume of Hollow Hemisphere given Total Surface Area and Outer Radius?

Volume of Hollow Hemisphere given Total Surface Area and Outer Radius evaluator uses Volume of Hollow Hemisphere = 2/3*pi*(Outer Radius of Hollow Hemisphere^3-(sqrt((Total Surface Area of Hollow Hemisphere/pi)-(3*Outer Radius of Hollow Hemisphere^2)))^3) to evaluate the Volume of Hollow Hemisphere, The Volume of Hollow Hemisphere given Total Surface Area and Outer Radius formula is defined as the measure of the three-dimensional space enclosed by all the faces of the Hollow Hemisphere, calculated using total surface area and the outer radius of the Hollow Hemisphere. Volume of Hollow Hemisphere is denoted by V symbol.

How to evaluate Volume of Hollow Hemisphere given Total Surface Area and Outer Radius using this online evaluator? To use this online evaluator for Volume of Hollow Hemisphere given Total Surface Area and Outer Radius, enter Outer Radius of Hollow Hemisphere (r_Outer) & Total Surface Area of Hollow Hemisphere (TSA) and hit the calculate button.

FAQs on Volume of Hollow Hemisphere given Total Surface Area and Outer Radius

What is the formula to find Volume of Hollow Hemisphere given Total Surface Area and Outer Radius?

The formula of Volume of Hollow Hemisphere given Total Surface Area and Outer Radius is expressed as Volume of Hollow Hemisphere = 2/3*pi*(Outer Radius of Hollow Hemisphere^3-(sqrt((Total Surface Area of Hollow Hemisphere/pi)-(3*Outer Radius of Hollow Hemisphere^2)))^3). Here is an example- 1537.979 = 2/3*pi*(12^3-(sqrt((1670/pi)-(3*12^2)))^3).

How to calculate Volume of Hollow Hemisphere given Total Surface Area and Outer Radius?

With Outer Radius of Hollow Hemisphere (r_Outer) & Total Surface Area of Hollow Hemisphere (TSA) we can find Volume of Hollow Hemisphere given Total Surface Area and Outer Radius using the formula - Volume of Hollow Hemisphere = 2/3*pi*(Outer Radius of Hollow Hemisphere^3-(sqrt((Total Surface Area of Hollow Hemisphere/pi)-(3*Outer Radius of Hollow Hemisphere^2)))^3). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Hollow Hemisphere?

Here are the different ways to Calculate Volume of Hollow Hemisphere-

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

Can the Volume of Hollow Hemisphere given Total Surface Area and Outer Radius be negative?

No, the Volume of Hollow Hemisphere given Total Surface Area and Outer Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Hollow Hemisphere given Total Surface Area and Outer Radius?

Volume of Hollow Hemisphere given Total Surface Area and Outer Radius is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Hollow Hemisphere given Total Surface Area and Outer Radius can be measured.

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Volume of Hollow Hemisphere given Total Surface Area and Outer Radius Formula

​GoVolume of Hollow Hemisphere Formula

​GoVolume of Hollow Hemisphere given Shell Thickness and Inner Radius Formula

Volume of Hollow Hemisphere given Total Surface Area and Outer Radius Example

Volume of Hollow Hemisphere given Total Surface Area and Outer Radius Solution

Volume of Hollow Hemisphere given Total Surface Area and Outer Radius Formula Elements

Other Formulas to find Volume of Hollow Hemisphere

How to Evaluate Volume of Hollow Hemisphere given Total Surface Area and Outer Radius?

FAQs on Volume of Hollow Hemisphere given Total Surface Area and Outer Radius

Variable Name

GoVolume of Hollow Hemisphere Formula

GoVolume of Hollow Hemisphere given Shell Thickness and Inner Radius Formula