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

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

V - Volume of Spherical Segment?r - Radius of Spherical Segment?l_Center-Base - Center to Base Radius Length of Spherical Segment?l_Top-Top - Top to Top Radius Length of Spherical Segment?r_Top - Top Radius of Spherical Segment?r_Base - Base Radius of Spherical Segment?π - Archimedes' constant?

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

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Here is how the Volume of Spherical Segment given Center to Base and Top to Top Radius Length equation looks like with Values.

Here is how the Volume of Spherical Segment given Center to Base and Top to Top Radius Length equation looks like with Units.

Here is how the Volume of Spherical Segment given Center to Base and Top to Top Radius Length equation looks like.

1206.9606 = \frac{1}{2} \cdot 3.1416 \cdot (10 - 1.5 - 4) \cdot (8^{2} + 10^{2} + \frac{{(10 - 1.5 - 4)}^{2}}{3})

1206.9606m³ = \frac{1}{2} \cdot 3.1416 \cdot (10m - 1.5m - 4m) \cdot ({8m}^{2} + {10m}^{2} + \frac{{(10m - 1.5m - 4m)}^{2}}{3})

1206.9606 = \frac{1}{2} \cdot 3.1416 \cdot (10 - 1.5 - 4) \cdot (8^{2} + 10^{2} + \frac{{(10 - 1.5 - 4)}^{2}}{3})

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

Follow our step by step solution on how to calculate Volume of Spherical Segment given Center to Base and Top to Top Radius Length?

FIRST Step Consider the formula

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})

Next Step Substitute values of Variables

∴

V = \frac{1}{2} \cdot π \cdot (10m - 1.5m - 4m) \cdot ({8m}^{2} + {10m}^{2} + \frac{{(10m - 1.5m - 4m)}^{2}}{3})

Next Step Substitute values of Constants

∴

V = \frac{1}{2} \cdot 3.1416 \cdot (10m - 1.5m - 4m) \cdot ({8m}^{2} + {10m}^{2} + \frac{{(10m - 1.5m - 4m)}^{2}}{3})

Next Step Prepare to Evaluate

∴

V = \frac{1}{2} \cdot 3.1416 \cdot (10 - 1.5 - 4) \cdot (8^{2} + 10^{2} + \frac{{(10 - 1.5 - 4)}^{2}}{3})

Next Step Evaluate

∴

V = 1206.96062760103m³

LAST Step Rounding Answer

∴

V = 1206.9606m³

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

Radius of Spherical Segment

Radius of Spherical Segment is the line segment extending from the center to the circumference of Sphere in which Spherical Segment is bounded.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Spherical Segment

Center to Base Radius Length of Spherical Segment

Center to Base Radius Length of Spherical Segment is the distance measured from the center of Spherical Segment to Base Radius of Spherical Segment.

Symbol: l_Center-Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Center to Base Radius Length of Spherical Segment

Top to Top Radius Length of Spherical Segment

Top to Top Radius Length of Spherical Segment is the distance measured from the top of Spherical Segment to Top Radius of Spherical Segment.

Symbol: l_Top-Top

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top to Top Radius Length 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

V = \frac{1}{2} \cdot π \cdot h \cdot ({r Top}^{2} + {r Base}^{2} + \frac{h^{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 given Center to Base and Top to Top Radius Length?

Volume of Spherical Segment given Center to Base and Top to Top Radius Length evaluator uses 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) to evaluate the Volume of Spherical Segment, The Volume of Spherical Segment given Center to Base and Top to Top Radius Length formula is defined as the amount of three dimensional space occupied by the Spherical Segment, and calculated using the center to base radius and top to top radius length of Spherical Segment. Volume of Spherical Segment is denoted by V symbol.

How to evaluate Volume of Spherical Segment given Center to Base and Top to Top Radius Length using this online evaluator? To use this online evaluator for Volume of Spherical Segment given Center to Base and Top to Top Radius Length, enter Radius of Spherical Segment (r), Center to Base Radius Length of Spherical Segment (l_Center-Base), Top to Top Radius Length of Spherical Segment (l_Top-Top), 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 given Center to Base and Top to Top Radius Length

What is the formula to find Volume of Spherical Segment given Center to Base and Top to Top Radius Length?

The formula of Volume of Spherical Segment given Center to Base and Top to Top Radius Length is expressed as 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). Here is an example- 1206.961 = 1/2*pi*(10-1.5-4)*(8^2+10^2+(10-1.5-4)^2/3).

How to calculate Volume of Spherical Segment given Center to Base and Top to Top Radius Length?

With Radius of Spherical Segment (r), Center to Base Radius Length of Spherical Segment (l_Center-Base), Top to Top Radius Length of Spherical Segment (l_Top-Top), Top Radius of Spherical Segment (r_Top) & Base Radius of Spherical Segment (r_Base) we can find Volume of Spherical Segment given Center to Base and Top to Top Radius Length using the formula - 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). 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*Height of Spherical Segment*(Top Radius of Spherical Segment^2+Base Radius of Spherical Segment^2+Height 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 given Center to Base and Top to Top Radius Length be negative?

No, the Volume of Spherical Segment given Center to Base and Top to Top Radius Length, measured in Volume cannot be negative.

Which unit is used to measure Volume of Spherical Segment given Center to Base and Top to Top Radius Length?

Volume of Spherical Segment given Center to Base and Top to Top Radius Length 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 given Center to Base and Top to Top Radius Length can be measured.

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

​GoVolume of Spherical Segment Formula

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

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

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

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

Other Formulas to find Volume of Spherical Segment

How to Evaluate Volume of Spherical Segment given Center to Base and Top to Top Radius Length?

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

Variable Name

GoVolume of Spherical Segment Formula

GoVolume of Spherical Segment given Total Surface Area and Radius Formula