FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Inner Radius of Hollow Sphere given Volume Formula

GoInner Radius of Hollow Sphere given Surface Area Formula

GoInner Radius of Hollow Sphere given Thickness Formula

Fx Copy

LaTeX Copy

Inner Radius of Hollow Sphere is the distance between center and any point on the circumference of smaller sphere of the Hollow Sphere. Check FAQs

r Inner = {({r Outer}^{3} - \frac{3 \cdot V}{4 \cdot π})}^{\frac{1}{3}}

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

Inner Radius of Hollow Sphere given Volume Example

With values

With units

Only example

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

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

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

5.9644 = {(10^{3} - \frac{3 \cdot 3300}{4 \cdot 3.1416})}^{\frac{1}{3}}

5.9644m = {({10m}^{3} - \frac{3 \cdot 3300m³}{4 \cdot 3.1416})}^{\frac{1}{3}}

5.9644 = {(10^{3} - \frac{3 \cdot 3300}{4 \cdot 3.1416})}^{\frac{1}{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Inner Radius of Hollow Sphere given Volume

Inner Radius of Hollow Sphere given Volume Solution

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

FIRST Step Consider the formula

r Inner = {({r Outer}^{3} - \frac{3 \cdot V}{4 \cdot π})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r Inner = {({10m}^{3} - \frac{3 \cdot 3300m³}{4 \cdot π})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

r Inner = {({10m}^{3} - \frac{3 \cdot 3300m³}{4 \cdot 3.1416})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r Inner = {(10^{3} - \frac{3 \cdot 3300}{4 \cdot 3.1416})}^{\frac{1}{3}}

Next Step Evaluate

∴

r Inner = 5.96444745303923m

LAST Step Rounding Answer

∴

r Inner = 5.9644m

Inner Radius of Hollow Sphere given Volume Formula Elements

Variables

Constants

Inner Radius of Hollow Sphere

Inner Radius of Hollow Sphere is the distance between center and any point on the circumference of smaller sphere of the Hollow Sphere.

Symbol: r_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Radius of Hollow Sphere

Outer Radius of Hollow Sphere

Outer Radius of Hollow Sphere is the distance between center and any point on the circumference of larger sphere of the Hollow Sphere.

Symbol: r_Outer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius of Hollow Sphere

Volume of Hollow Sphere

Volume of Hollow Sphere is the total quantity of three dimensional space enclosed by the entire surface of the Hollow Sphere.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Hollow Sphere

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 Sphere

Go Inner Radius of Hollow Sphere given Surface Area

r Inner = \sqrt{\frac{SA}{4 \cdot π} - {r Outer}^{2}}

Go Inner Radius of Hollow Sphere given Thickness

r Inner = r Outer - t

Other formulas in Inner Radius of Hollow Sphere category

Go Outer Radius of Hollow Sphere given Surface Area

r Outer = \sqrt{\frac{SA}{4 \cdot π} - {r Inner}^{2}}

Go Outer Radius of Hollow Sphere given Thickness

r Outer = r Inner + t

Go Outer Radius of Hollow Sphere given Volume

r Outer = {(\frac{3 \cdot V}{4 \cdot π} + {r Inner}^{3})}^{\frac{1}{3}}

How to Evaluate Inner Radius of Hollow Sphere given Volume?

Inner Radius of Hollow Sphere given Volume evaluator uses Inner Radius of Hollow Sphere = (Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(1/3) to evaluate the Inner Radius of Hollow Sphere, The Inner Radius of Hollow Sphere given Volume formula is defined as the distance between center and any point on the circumference of smaller sphere of the Hollow Sphere, calculated using the volume of Hollow Sphere. Inner Radius of Hollow Sphere is denoted by r_Inner symbol.

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

FAQs on Inner Radius of Hollow Sphere given Volume

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

The formula of Inner Radius of Hollow Sphere given Volume is expressed as Inner Radius of Hollow Sphere = (Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(1/3). Here is an example- 5.964447 = (10^3-(3*3300)/(4*pi))^(1/3).

How to calculate Inner Radius of Hollow Sphere given Volume?

With Outer Radius of Hollow Sphere (r_Outer) & Volume of Hollow Sphere (V) we can find Inner Radius of Hollow Sphere given Volume using the formula - Inner Radius of Hollow Sphere = (Outer Radius of Hollow Sphere^3-(3*Volume of Hollow Sphere)/(4*pi))^(1/3). This formula also uses Archimedes' constant .

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

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

Inner Radius of Hollow Sphere=sqrt(Surface Area of Hollow Sphere/(4*pi)-Outer Radius of Hollow Sphere^2)
Inner Radius of Hollow Sphere=Outer Radius of Hollow Sphere-Thickness of Hollow Sphere

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

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

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

Inner Radius of Hollow Sphere 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 Sphere given Volume can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Inner Radius of Hollow Sphere given Volume Formula

​GoInner Radius of Hollow Sphere given Surface Area Formula

​GoInner Radius of Hollow Sphere given Thickness Formula

Inner Radius of Hollow Sphere given Volume Example

Inner Radius of Hollow Sphere given Volume Solution

Inner Radius of Hollow Sphere given Volume Formula Elements

Other Formulas to find Inner Radius of Hollow Sphere

Other formulas in Inner Radius of Hollow Sphere category

How to Evaluate Inner Radius of Hollow Sphere given Volume?

FAQs on Inner Radius of Hollow Sphere given Volume

Variable Name

GoInner Radius of Hollow Sphere given Surface Area Formula

GoInner Radius of Hollow Sphere given Thickness Formula