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Inner Radius of Hollow Hemisphere given Volume Formula

GoInner Radius of Hollow Hemisphere Formula

GoInner Radius of Hollow Hemisphere given Total Surface Area Formula

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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. Check FAQs

r Inner = {({r Outer}^{3} - \frac{3 \cdot V}{2 \cdot π})}^{\frac{1}{3}}

r_Inner - Inner Radius of Hollow Hemisphere?r_Outer - Outer Radius of Hollow Hemisphere?V - Volume of Hollow Hemisphere?π - Archimedes' constant?

Inner Radius of Hollow Hemisphere given Volume Example

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Here is how the Inner Radius of Hollow Hemisphere given Volume equation looks like with Values.

Here is how the Inner Radius of Hollow Hemisphere given Volume equation looks like with Units.

Here is how the Inner Radius of Hollow Hemisphere given Volume equation looks like.

9.9996 = {(12^{3} - \frac{3 \cdot 1525}{2 \cdot 3.1416})}^{\frac{1}{3}}

9.9996m = {({12m}^{3} - \frac{3 \cdot 1525m³}{2 \cdot 3.1416})}^{\frac{1}{3}}

9.9996 = {(12^{3} - \frac{3 \cdot 1525}{2 \cdot 3.1416})}^{\frac{1}{3}}

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Inner Radius of Hollow Hemisphere given Volume Solution

Follow our step by step solution on how to calculate Inner Radius of Hollow Hemisphere given Volume?

FIRST Step Consider the formula

r Inner = {({r Outer}^{3} - \frac{3 \cdot V}{2 \cdot π})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r Inner = {({12m}^{3} - \frac{3 \cdot 1525m³}{2 \cdot π})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

r Inner = {({12m}^{3} - \frac{3 \cdot 1525m³}{2 \cdot 3.1416})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r Inner = {(12^{3} - \frac{3 \cdot 1525}{2 \cdot 3.1416})}^{\frac{1}{3}}

Next Step Evaluate

∴

r Inner = 9.99955376460295m

LAST Step Rounding Answer

∴

r Inner = 9.9996m

Inner Radius of Hollow Hemisphere given Volume Formula Elements

Variables

Constants

Inner Radius of 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.

Symbol: r_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius 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

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

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 Inner Radius of Hollow Hemisphere

Go Inner Radius of Hollow Hemisphere

r Inner = r Outer - t Shell

Go Inner Radius of Hollow Hemisphere given Total Surface Area

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

How to Evaluate Inner Radius of Hollow Hemisphere given Volume?

Inner Radius of Hollow Hemisphere given Volume evaluator uses Inner Radius of Hollow Hemisphere = (Outer Radius of Hollow Hemisphere^3-(3*Volume of Hollow Hemisphere)/(2*pi))^(1/3) to evaluate the Inner Radius of Hollow Hemisphere, Inner Radius of Hollow Hemisphere given Volume formula is defined as the line segment from the center to a point on the curved surface of the inner circular base of the Hollow Hemisphere., calculated using the volume of the Hollow Hemisphere. Inner Radius of Hollow Hemisphere is denoted by r_Inner symbol.

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

FAQs on Inner Radius of Hollow Hemisphere given Volume

What is the formula to find Inner Radius of Hollow Hemisphere given Volume?

The formula of Inner Radius of Hollow Hemisphere given Volume is expressed as Inner Radius of Hollow Hemisphere = (Outer Radius of Hollow Hemisphere^3-(3*Volume of Hollow Hemisphere)/(2*pi))^(1/3). Here is an example- 9.999554 = (12^3-(3*1525)/(2*pi))^(1/3).

How to calculate Inner Radius of Hollow Hemisphere given Volume?

With Outer Radius of Hollow Hemisphere (r_Outer) & Volume of Hollow Hemisphere (V) we can find Inner Radius of Hollow Hemisphere given Volume using the formula - Inner Radius of Hollow Hemisphere = (Outer Radius of Hollow Hemisphere^3-(3*Volume of Hollow Hemisphere)/(2*pi))^(1/3). This formula also uses Archimedes' constant .

What are the other ways to Calculate Inner Radius of Hollow Hemisphere?

Here are the different ways to Calculate Inner Radius of Hollow Hemisphere-

Inner Radius of Hollow Hemisphere=Outer Radius of Hollow Hemisphere-Shell Thickness of Hollow Hemisphere
Inner Radius of Hollow Hemisphere=sqrt((Total Surface Area of Hollow Hemisphere/pi)-(3*(Outer Radius of Hollow Hemisphere)^2))

Can the Inner Radius of Hollow Hemisphere given Volume be negative?

No, the Inner Radius of Hollow Hemisphere given Volume, measured in Length cannot be negative.

Which unit is used to measure Inner Radius of Hollow Hemisphere given Volume?

Inner Radius of Hollow Hemisphere given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inner Radius of Hollow Hemisphere given Volume can be measured.

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Inner Radius of Hollow Hemisphere given Volume Formula

​GoInner Radius of Hollow Hemisphere Formula

​GoInner Radius of Hollow Hemisphere given Total Surface Area Formula

Inner Radius of Hollow Hemisphere given Volume Example

Inner Radius of Hollow Hemisphere given Volume Solution

Inner Radius of Hollow Hemisphere given Volume Formula Elements

Other Formulas to find Inner Radius of Hollow Hemisphere

How to Evaluate Inner Radius of Hollow Hemisphere given Volume?

FAQs on Inner Radius of Hollow Hemisphere given Volume

Variable Name

GoInner Radius of Hollow Hemisphere Formula

GoInner Radius of Hollow Hemisphere given Total Surface Area Formula