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Volume of Hemisphere given Diameter Formula

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GoVolume of Hemisphere given Curved Surface Area Formula

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Volume of Hemisphere is the total quantity of three dimensional space enclosed by the surface of the Hemisphere. Check FAQs

V = \frac{2}{3} \cdot π \cdot {(\frac{D}{2})}^{3}

V - Volume of Hemisphere?D - Diameter of Hemisphere?π - Archimedes' constant?

Volume of Hemisphere given Diameter Example

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Here is how the Volume of Hemisphere given Diameter equation looks like with Values.

Here is how the Volume of Hemisphere given Diameter equation looks like with Units.

Here is how the Volume of Hemisphere given Diameter equation looks like.

261.7994 = \frac{2}{3} \cdot 3.1416 \cdot {(\frac{10}{2})}^{3}

261.7994m³ = \frac{2}{3} \cdot 3.1416 \cdot {(\frac{10m}{2})}^{3}

261.7994 = \frac{2}{3} \cdot 3.1416 \cdot {(\frac{10}{2})}^{3}

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Volume of Hemisphere given Diameter Solution

Follow our step by step solution on how to calculate Volume of Hemisphere given Diameter?

FIRST Step Consider the formula

V = \frac{2}{3} \cdot π \cdot {(\frac{D}{2})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{2}{3} \cdot π \cdot {(\frac{10m}{2})}^{3}

Next Step Substitute values of Constants

∴

V = \frac{2}{3} \cdot 3.1416 \cdot {(\frac{10m}{2})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{2}{3} \cdot 3.1416 \cdot {(\frac{10}{2})}^{3}

Next Step Evaluate

∴

V = 261.799387799149m³

LAST Step Rounding Answer

∴

V = 261.7994m³

Volume of Hemisphere given Diameter Formula Elements

Variables

Constants

Volume of Hemisphere

Volume of Hemisphere is the total quantity of three dimensional space enclosed by the surface of the Hemisphere.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hemisphere

Diameter of Hemisphere

Diameter of Hemisphere is the distance from one point to other point on the Hemisphere which is collinear with the center of the Hemisphere.

Symbol: D

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Diameter of 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

Other Formulas to find Volume of Hemisphere

Go Volume of Hemisphere

V = \frac{2}{3} \cdot π \cdot r^{3}

Go Volume of Hemisphere given Curved Surface Area

V = \frac{2}{3} \cdot π \cdot {(\frac{CSA}{2 \cdot π})}^{\frac{3}{2}}

Go Volume of Hemisphere given Total Surface Area

V = \frac{2}{3} \cdot π \cdot {(\frac{TSA}{3 \cdot π})}^{\frac{3}{2}}

Go Volume of Hemisphere given Surface to Volume Ratio

V = \frac{2}{3} \cdot π \cdot {(\frac{9}{2 \cdot R A/V})}^{3}

How to Evaluate Volume of Hemisphere given Diameter?

Volume of Hemisphere given Diameter evaluator uses Volume of Hemisphere = 2/3*pi*(Diameter of Hemisphere/2)^3 to evaluate the Volume of Hemisphere, The Volume of Hemisphere given Diameter formula is defined as the total quantity of three dimensional space enclosed by the surface of the Hemisphere, and calculated using the diameter of Hemisphere. Volume of Hemisphere is denoted by V symbol.

How to evaluate Volume of Hemisphere given Diameter using this online evaluator? To use this online evaluator for Volume of Hemisphere given Diameter, enter Diameter of Hemisphere (D) and hit the calculate button.

FAQs on Volume of Hemisphere given Diameter

What is the formula to find Volume of Hemisphere given Diameter?

The formula of Volume of Hemisphere given Diameter is expressed as Volume of Hemisphere = 2/3*pi*(Diameter of Hemisphere/2)^3. Here is an example- 261.7994 = 2/3*pi*(10/2)^3.

How to calculate Volume of Hemisphere given Diameter?

With Diameter of Hemisphere (D) we can find Volume of Hemisphere given Diameter using the formula - Volume of Hemisphere = 2/3*pi*(Diameter of Hemisphere/2)^3. This formula also uses Archimedes' constant .

What are the other ways to Calculate Volume of Hemisphere?

Here are the different ways to Calculate Volume of Hemisphere-

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

Can the Volume of Hemisphere given Diameter be negative?

No, the Volume of Hemisphere given Diameter, measured in Volume cannot be negative.

Which unit is used to measure Volume of Hemisphere given Diameter?

Volume of Hemisphere given Diameter 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 Hemisphere given Diameter can be measured.

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