FormulaDen.com

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

Volume of Spherical Segment given Total Surface Area and Radius Formula

GoVolume of Spherical Segment Formula

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

Fx Copy

LaTeX Copy

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

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})

V - Volume of Spherical Segment?TSA - Total Surface Area of Spherical Segment?r_Base - Base Radius of Spherical Segment?r_Top - Top Radius of Spherical Segment?r - Radius of Spherical Segment?π - Archimedes' constant?

Volume of Spherical Segment given Total Surface Area and Radius Example

With values

With units

Only example

Here is how the Volume of Spherical Segment given Total Surface Area and Radius equation looks like with Values.

Here is how the Volume of Spherical Segment given Total Surface Area and Radius equation looks like with Units.

Here is how the Volume of Spherical Segment given Total Surface Area and Radius equation looks like.

1356.4309 = \frac{830 - (3.1416 \cdot (10^{2} + 8^{2}))}{12 \cdot 10} \cdot (3 \cdot 8^{2} + 3 \cdot 10^{2} + {(\frac{830 - (3.1416 \cdot (10^{2} + 8^{2}))}{2 \cdot 3.1416 \cdot 10})}^{2})

1356.4309m³ = \frac{830m² - (3.1416 \cdot ({10m}^{2} + {8m}^{2}))}{12 \cdot 10m} \cdot (3 \cdot {8m}^{2} + 3 \cdot {10m}^{2} + {(\frac{830m² - (3.1416 \cdot ({10m}^{2} + {8m}^{2}))}{2 \cdot 3.1416 \cdot 10m})}^{2})

1356.4309 = \frac{830 - (3.1416 \cdot (10^{2} + 8^{2}))}{12 \cdot 10} \cdot (3 \cdot 8^{2} + 3 \cdot 10^{2} + {(\frac{830 - (3.1416 \cdot (10^{2} + 8^{2}))}{2 \cdot 3.1416 \cdot 10})}^{2})

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 Volume of Spherical Segment given Total Surface Area and Radius

Volume of Spherical Segment given Total Surface Area and Radius Solution

Follow our step by step solution on how to calculate Volume of Spherical Segment given Total Surface Area and Radius?

FIRST Step Consider the formula

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})

Next Step Substitute values of Variables

∴

V = \frac{830m² - (π \cdot ({10m}^{2} + {8m}^{2}))}{12 \cdot 10m} \cdot (3 \cdot {8m}^{2} + 3 \cdot {10m}^{2} + {(\frac{830m² - (π \cdot ({10m}^{2} + {8m}^{2}))}{2 \cdot π \cdot 10m})}^{2})

Next Step Substitute values of Constants

∴

V = \frac{830m² - (3.1416 \cdot ({10m}^{2} + {8m}^{2}))}{12 \cdot 10m} \cdot (3 \cdot {8m}^{2} + 3 \cdot {10m}^{2} + {(\frac{830m² - (3.1416 \cdot ({10m}^{2} + {8m}^{2}))}{2 \cdot 3.1416 \cdot 10m})}^{2})

Next Step Prepare to Evaluate

∴

V = \frac{830 - (3.1416 \cdot (10^{2} + 8^{2}))}{12 \cdot 10} \cdot (3 \cdot 8^{2} + 3 \cdot 10^{2} + {(\frac{830 - (3.1416 \cdot (10^{2} + 8^{2}))}{2 \cdot 3.1416 \cdot 10})}^{2})

Next Step Evaluate

∴

V = 1356.43092293945m³

LAST Step Rounding Answer

∴

V = 1356.4309m³

Volume of Spherical Segment given Total Surface Area and Radius 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

Total Surface Area of Spherical Segment

Total Surface Area of Spherical Segment is the quantity of plane enclosed on the entire surface of the Spherical Segment.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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

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

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

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 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})

How to Evaluate Volume of Spherical Segment given Total Surface Area and Radius?

Volume of Spherical Segment given Total Surface Area and Radius evaluator uses 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) to evaluate the Volume of Spherical Segment, Volume of Spherical Segment given Total Surface Area and Radius formula is defined as the amount of three dimensional space occupied by the Spherical Segment, and calculated using the total surface area and radius of Spherical Segment. Volume of Spherical Segment is denoted by V symbol.

How to evaluate Volume of Spherical Segment given Total Surface Area and Radius using this online evaluator? To use this online evaluator for Volume of Spherical Segment given Total Surface Area and Radius, enter Total Surface Area of Spherical Segment (TSA), Base Radius of Spherical Segment (r_Base), Top Radius of Spherical Segment (r_Top) & Radius of Spherical Segment (r) and hit the calculate button.

FAQs on Volume of Spherical Segment given Total Surface Area and Radius

What is the formula to find Volume of Spherical Segment given Total Surface Area and Radius?

The formula of Volume of Spherical Segment given Total Surface Area and Radius is expressed as 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). Here is an example- 1356.431 = (830-(pi*(10^2+8^2)))/(12*10)*(3*8^2+3*10^2+((830-(pi*(10^2+8^2)))/(2*pi*10))^2).

How to calculate Volume of Spherical Segment given Total Surface Area and Radius?

With Total Surface Area of Spherical Segment (TSA), Base Radius of Spherical Segment (r_Base), Top Radius of Spherical Segment (r_Top) & Radius of Spherical Segment (r) we can find Volume of Spherical Segment given Total Surface Area and Radius using the formula - 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). 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=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)

Can the Volume of Spherical Segment given Total Surface Area and Radius be negative?

No, the Volume of Spherical Segment given Total Surface Area and Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Spherical Segment given Total Surface Area and Radius?

Volume of Spherical Segment given Total Surface Area and Radius 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 Total Surface Area and Radius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Volume of Spherical Segment given Total Surface Area and Radius Formula

​GoVolume of Spherical Segment Formula

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

Volume of Spherical Segment given Total Surface Area and Radius Example

Volume of Spherical Segment given Total Surface Area and Radius Solution

Volume of Spherical Segment given Total Surface Area and Radius Formula Elements

Other Formulas to find Volume of Spherical Segment

How to Evaluate Volume of Spherical Segment given Total Surface Area and Radius?

FAQs on Volume of Spherical Segment given Total Surface Area and Radius

Variable Name

GoVolume of Spherical Segment Formula

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