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Volume of Spherical Segment Formula

GoVolume of Spherical Segment given Center to Base and Top to Top Radius Length Formula

GoVolume of Spherical Segment given Total Surface Area and Radius Formula

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Volume of Spherical Segment is the amount of three dimensional space occupied by the Spherical Segment. 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 Segment?h - Height of Spherical Segment?r_Top - Top Radius of Spherical Segment?r_Base - Base Radius of Spherical Segment?π - Archimedes' constant?

Volume of Spherical Segment Example

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

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

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

1353.5028 = \frac{1}{2} \cdot 3.1416 \cdot 5 \cdot (8^{2} + 10^{2} + \frac{5^{2}}{3})

1353.5028m³ = \frac{1}{2} \cdot 3.1416 \cdot 5m \cdot ({8m}^{2} + {10m}^{2} + \frac{{5m}^{2}}{3})

1353.5028 = \frac{1}{2} \cdot 3.1416 \cdot 5 \cdot (8^{2} + 10^{2} + \frac{5^{2}}{3})

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Volume of Spherical Segment Solution

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

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 5m \cdot ({8m}^{2} + {10m}^{2} + \frac{{5m}^{2}}{3})

Next Step Substitute values of Constants

∴

V = \frac{1}{2} \cdot 3.1416 \cdot 5m \cdot ({8m}^{2} + {10m}^{2} + \frac{{5m}^{2}}{3})

Next Step Prepare to Evaluate

∴

V = \frac{1}{2} \cdot 3.1416 \cdot 5 \cdot (8^{2} + 10^{2} + \frac{5^{2}}{3})

Next Step Evaluate

∴

V = 1353.5028349216m³

LAST Step Rounding Answer

∴

V = 1353.5028m³

Volume of Spherical Segment Formula Elements

Variables

Constants

Volume of Spherical Segment

Volume of Spherical Segment is the amount of three dimensional space occupied by the Spherical Segment.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Spherical Segment

Height of Spherical Segment

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

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Spherical Segment

Top Radius of Spherical Segment

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

Symbol: r_Top

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Radius of Spherical Segment

Base Radius of Spherical Segment

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

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Spherical Segment

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 Spherical Segment

Go Volume of Spherical Segment given Center to Base and Top to Top Radius Length

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

Go Volume of Spherical Segment given Total Surface Area and Radius

V = \frac{TSA - (π \cdot ({r Base}^{2} + {r Top}^{2}))}{12 \cdot r} \cdot (3 \cdot {r Top}^{2} + 3 \cdot {r Base}^{2} + {(\frac{TSA - (π \cdot ({r Base}^{2} + {r Top}^{2}))}{2 \cdot π \cdot r})}^{2})

How to Evaluate Volume of Spherical Segment?

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

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

FAQs on Volume of Spherical Segment

What is the formula to find Volume of Spherical Segment?

The formula of Volume of Spherical Segment is expressed as Volume of Spherical Segment = 1/2*pi*Height of Spherical Segment*(Top Radius of Spherical Segment^2+Base Radius of Spherical Segment^2+Height of Spherical Segment^2/3). Here is an example- 1353.503 = 1/2*pi*5*(8^2+10^2+5^2/3).

How to calculate Volume of Spherical Segment?

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

What are the other ways to Calculate Volume of Spherical Segment?

Here are the different ways to Calculate Volume of Spherical Segment-

Volume of Spherical Segment=1/2*pi*(Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment)*(Top Radius of Spherical Segment^2+Base Radius of Spherical Segment^2+(Radius of Spherical Segment-Center to Base Radius Length of Spherical Segment-Top to Top Radius Length of Spherical Segment)^2/3)
Volume of Spherical Segment=(Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)))/(12*Radius of Spherical Segment)*(3*Top Radius of Spherical Segment^2+3*Base Radius of Spherical Segment^2+((Total Surface Area of Spherical Segment-(pi*(Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)))/(2*pi*Radius of Spherical Segment))^2)

Can the Volume of Spherical Segment be negative?

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

Which unit is used to measure Volume of Spherical Segment?

Volume of Spherical Segment 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 Segment can be measured.

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: Unit

Volume of Spherical Segment Formula

​GoVolume of Spherical Segment given Center to Base and Top to Top Radius Length Formula

​GoVolume of Spherical Segment given Total Surface Area and Radius Formula

Volume of Spherical Segment Example

Volume of Spherical Segment Solution

Volume of Spherical Segment Formula Elements

Other Formulas to find Volume of Spherical Segment

How to Evaluate Volume of Spherical Segment?

FAQs on Volume of Spherical Segment

Variable Name

GoVolume of Spherical Segment given Center to Base and Top to Top Radius Length Formula

GoVolume of Spherical Segment given Total Surface Area and Radius Formula