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Volume of Spherical Zone Formula

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Volume of Spherical Zone is defined as the amount of three dimensional space occupied by the Spherical Zone. Check FAQs

V = \frac{1}{2} \cdot π \cdot h \cdot ({r Top}^{2} + {r Base}^{2} + \frac{h^{2}}{3})

V - Volume of Spherical Zone?h - Height of Spherical Zone?r_Top - Top Radius of Spherical Zone?r_Base - Base Radius of Spherical Zone?π - Archimedes' constant?

Volume of Spherical Zone Example

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Here is how the Volume of Spherical Zone equation looks like with Values.

Here is how the Volume of Spherical Zone equation looks like with Units.

Here is how the Volume of Spherical Zone equation looks like.

4905.0733 = \frac{1}{2} \cdot 3.1416 \cdot 8 \cdot (12^{2} + 15^{2} + \frac{8^{2}}{3})

4905.0733m³ = \frac{1}{2} \cdot 3.1416 \cdot 8m \cdot ({12m}^{2} + {15m}^{2} + \frac{{8m}^{2}}{3})

4905.0733 = \frac{1}{2} \cdot 3.1416 \cdot 8 \cdot (12^{2} + 15^{2} + \frac{8^{2}}{3})

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Volume of Spherical Zone Solution

Follow our step by step solution on how to calculate Volume of Spherical Zone?

FIRST Step Consider the formula

V = \frac{1}{2} \cdot π \cdot h \cdot ({r Top}^{2} + {r Base}^{2} + \frac{h^{2}}{3})

Next Step Substitute values of Variables

∴

V = \frac{1}{2} \cdot π \cdot 8m \cdot ({12m}^{2} + {15m}^{2} + \frac{{8m}^{2}}{3})

Next Step Substitute values of Constants

∴

V = \frac{1}{2} \cdot 3.1416 \cdot 8m \cdot ({12m}^{2} + {15m}^{2} + \frac{{8m}^{2}}{3})

Next Step Prepare to Evaluate

∴

V = \frac{1}{2} \cdot 3.1416 \cdot 8 \cdot (12^{2} + 15^{2} + \frac{8^{2}}{3})

Next Step Evaluate

∴

V = 4905.07332980486m³

LAST Step Rounding Answer

∴

V = 4905.0733m³

Volume of Spherical Zone Formula Elements

Variables

Constants

Volume of Spherical Zone

Volume of Spherical Zone is defined as the amount of three dimensional space occupied by the Spherical Zone.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Spherical Zone

Height of Spherical Zone

Height of Spherical Zone is the vertical distance between top and bottom circular faces of the Spherical Zone.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Spherical Zone

Top Radius of Spherical Zone

Top Radius of Spherical Zone is a radial line from the center to any point on the circumference of the top base of a Spherical Zone.

Symbol: r_Top

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Radius of Spherical Zone

Base Radius of Spherical Zone

Base Radius of Spherical Zone is a radial line from the center to any point on the circumference of the base of the Spherical Zone.

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Spherical Zone

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

How to Evaluate Volume of Spherical Zone?

Volume of Spherical Zone evaluator uses Volume of Spherical Zone = 1/2*pi*Height of Spherical Zone*(Top Radius of Spherical Zone^2+Base Radius of Spherical Zone^2+Height of Spherical Zone^2/3) to evaluate the Volume of Spherical Zone, The Volume of Spherical Zone formula is defined as the amount of three dimensional space occupied by Spherical Zone. Volume of Spherical Zone is denoted by V symbol.

How to evaluate Volume of Spherical Zone using this online evaluator? To use this online evaluator for Volume of Spherical Zone, enter Height of Spherical Zone (h), Top Radius of Spherical Zone (r_Top) & Base Radius of Spherical Zone (r_Base) and hit the calculate button.

FAQs on Volume of Spherical Zone

What is the formula to find Volume of Spherical Zone?

The formula of Volume of Spherical Zone is expressed as Volume of Spherical Zone = 1/2*pi*Height of Spherical Zone*(Top Radius of Spherical Zone^2+Base Radius of Spherical Zone^2+Height of Spherical Zone^2/3). Here is an example- 4905.073 = 1/2*pi*8*(12^2+15^2+8^2/3).

How to calculate Volume of Spherical Zone?

With Height of Spherical Zone (h), Top Radius of Spherical Zone (r_Top) & Base Radius of Spherical Zone (r_Base) we can find Volume of Spherical Zone using the formula - Volume of Spherical Zone = 1/2*pi*Height of Spherical Zone*(Top Radius of Spherical Zone^2+Base Radius of Spherical Zone^2+Height of Spherical Zone^2/3). This formula also uses Archimedes' constant .

Can the Volume of Spherical Zone be negative?

No, the Volume of Spherical Zone, measured in Volume cannot be negative.

Which unit is used to measure Volume of Spherical Zone?

Volume of Spherical Zone 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 Spherical Zone can be measured.

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Volume of Spherical Zone Formula

Volume of Spherical Zone Example

Volume of Spherical Zone Solution

Volume of Spherical Zone Formula Elements

How to Evaluate Volume of Spherical Zone?

FAQs on Volume of Spherical Zone

Variable Name