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

GoSurface to Volume Ratio of Spherical Segment Formula

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Surface to Volume Ratio of Spherical Segment is the numerical ratio of the total surface area of Spherical Segment to the volume of the Spherical Segment. Check FAQs

R A/V = \frac{(2 \cdot (l Center-Base + h + l Top-Top) \cdot h) + {r Base}^{2} + {r Top}^{2}}{\frac{h}{6} \cdot (3 \cdot {r Top}^{2} + 3 \cdot {r Base}^{2} + h^{2})}

R_A/V - Surface to Volume Ratio of Spherical Segment?l_Center-Base - Center to Base Radius Length of Spherical Segment?h - Height of Spherical Segment?l_Top-Top - Top to Top Radius Length of Spherical Segment?r_Base - Base Radius of Spherical Segment?r_Top - Top Radius of Spherical Segment?

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

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

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

0.6244 = \frac{(2 \cdot (1.5 + 5 + 4) \cdot 5) + 10^{2} + 8^{2}}{\frac{5}{6} \cdot (3 \cdot 8^{2} + 3 \cdot 10^{2} + 5^{2})}

0.6244m⁻¹ = \frac{(2 \cdot (1.5m + 5m + 4m) \cdot 5m) + {10m}^{2} + {8m}^{2}}{\frac{5m}{6} \cdot (3 \cdot {8m}^{2} + 3 \cdot {10m}^{2} + {5m}^{2})}

0.6244 = \frac{(2 \cdot (1.5 + 5 + 4) \cdot 5) + 10^{2} + 8^{2}}{\frac{5}{6} \cdot (3 \cdot 8^{2} + 3 \cdot 10^{2} + 5^{2})}

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

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

FIRST Step Consider the formula

R A/V = \frac{(2 \cdot (l Center-Base + h + l Top-Top) \cdot h) + {r Base}^{2} + {r Top}^{2}}{\frac{h}{6} \cdot (3 \cdot {r Top}^{2} + 3 \cdot {r Base}^{2} + h^{2})}

Next Step Substitute values of Variables

∴

R A/V = \frac{(2 \cdot (1.5m + 5m + 4m) \cdot 5m) + {10m}^{2} + {8m}^{2}}{\frac{5m}{6} \cdot (3 \cdot {8m}^{2} + 3 \cdot {10m}^{2} + {5m}^{2})}

Next Step Prepare to Evaluate

∴

R A/V = \frac{(2 \cdot (1.5 + 5 + 4) \cdot 5) + 10^{2} + 8^{2}}{\frac{5}{6} \cdot (3 \cdot 8^{2} + 3 \cdot 10^{2} + 5^{2})}

Next Step Evaluate

∴

R A/V = 0.624371373307543m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.6244m⁻¹

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

Variables

Surface to Volume Ratio of Spherical Segment

Surface to Volume Ratio of Spherical Segment is the numerical ratio of the total surface area of Spherical Segment to the volume of the Spherical Segment.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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

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 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

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

Other Formulas to find Surface to Volume Ratio of Spherical Segment

Go Surface to Volume Ratio of Spherical Segment

R A/V = \frac{(2 \cdot r \cdot h) + {r Base}^{2} + {r Top}^{2}}{\frac{h}{6} \cdot (3 \cdot {r Top}^{2} + 3 \cdot {r Base}^{2} + h^{2})}

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

Surface to Volume Ratio of Spherical Segment given Center to Base and Top to Top Radius Length evaluator uses Surface to Volume Ratio of Spherical Segment = ((2*(Center to Base Radius Length of Spherical Segment+Height of Spherical Segment+Top to Top Radius Length of Spherical Segment)*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)/(Height of Spherical Segment/6*(3*Top Radius of Spherical Segment^2+3*Base Radius of Spherical Segment^2+Height of Spherical Segment^2)) to evaluate the Surface to Volume Ratio of Spherical Segment, The Surface to Volume Ratio of Spherical Segment given Center to Base and Top to Top Radius Length formula is defined as the numerical ratio of the total surface area of Spherical Segment to the volume of the Spherical Segment, and calculated using the center to base radius length and top to top radius length of Spherical Segment. Surface to Volume Ratio of Spherical Segment is denoted by R_A/V symbol.

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

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

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

The formula of Surface to Volume Ratio of Spherical Segment given Center to Base and Top to Top Radius Length is expressed as Surface to Volume Ratio of Spherical Segment = ((2*(Center to Base Radius Length of Spherical Segment+Height of Spherical Segment+Top to Top Radius Length of Spherical Segment)*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)/(Height of Spherical Segment/6*(3*Top Radius of Spherical Segment^2+3*Base Radius of Spherical Segment^2+Height of Spherical Segment^2)). Here is an example- 0.624371 = ((2*(1.5+5+4)*5)+10^2+8^2)/(5/6*(3*8^2+3*10^2+5^2)).

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

With Center to Base Radius Length of Spherical Segment (l_Center-Base), Height of Spherical Segment (h), Top to Top Radius Length of Spherical Segment (l_Top-Top), Base Radius of Spherical Segment (r_Base) & Top Radius of Spherical Segment (r_Top) we can find Surface to Volume Ratio of Spherical Segment given Center to Base and Top to Top Radius Length using the formula - Surface to Volume Ratio of Spherical Segment = ((2*(Center to Base Radius Length of Spherical Segment+Height of Spherical Segment+Top to Top Radius Length of Spherical Segment)*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)/(Height of Spherical Segment/6*(3*Top Radius of Spherical Segment^2+3*Base Radius of Spherical Segment^2+Height of Spherical Segment^2)).

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

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

Surface to Volume Ratio of Spherical Segment=((2*Radius of Spherical Segment*Height of Spherical Segment)+Base Radius of Spherical Segment^2+Top Radius of Spherical Segment^2)/(Height of Spherical Segment/6*(3*Top Radius of Spherical Segment^2+3*Base Radius of Spherical Segment^2+Height of Spherical Segment^2))

Can the Surface to Volume Ratio of Spherical Segment given Center to Base and Top to Top Radius Length be negative?

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

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

Surface to Volume Ratio of Spherical Segment given Center to Base and Top to Top Radius Length is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Spherical Segment given Center to Base and Top to Top Radius Length can be measured.

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

​GoSurface to Volume Ratio of Spherical Segment Formula

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

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

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

Other Formulas to find Surface to Volume Ratio of Spherical Segment

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

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

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GoSurface to Volume Ratio of Spherical Segment Formula