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Surface to Volume Ratio of Truncated Cone Formula

GoSurface to Volume Ratio of Truncated Cone given Curved Surface Area Formula

GoSurface to Volume Ratio of Truncated Cone given Slant Height Formula

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The Surface to Volume Ratio of Truncated Cone is the numerical ratio of the total surface area of Truncated Cone to the volume of Truncated Cone. Check FAQs

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

R_A/V - Surface to Volume Ratio of Truncated Cone?r_Base - Base Radius of Truncated Cone?r_Top - Top Radius of Truncated Cone?h - Height of Truncated Cone?

Surface to Volume Ratio of Truncated Cone Example

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Here is how the Surface to Volume Ratio of Truncated Cone equation looks like with Values.

Here is how the Surface to Volume Ratio of Truncated Cone equation looks like with Units.

Here is how the Surface to Volume Ratio of Truncated Cone equation looks like.

0.9045 = 3 \cdot \frac{5^{2} + 2^{2} + (\sqrt{{(2 - 5)}^{2} + 7^{2}} \cdot (5 + 2))}{7 \cdot (5^{2} + (5 \cdot 2) + 2^{2})}

0.9045m⁻¹ = 3 \cdot \frac{{5m}^{2} + {2m}^{2} + (\sqrt{{(2m - 5m)}^{2} + {7m}^{2}} \cdot (5m + 2m))}{7m \cdot ({5m}^{2} + (5m \cdot 2m) + {2m}^{2})}

0.9045 = 3 \cdot \frac{5^{2} + 2^{2} + (\sqrt{{(2 - 5)}^{2} + 7^{2}} \cdot (5 + 2))}{7 \cdot (5^{2} + (5 \cdot 2) + 2^{2})}

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Surface to Volume Ratio of Truncated Cone Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Truncated Cone?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = 3 \cdot \frac{{5m}^{2} + {2m}^{2} + (\sqrt{{(2m - 5m)}^{2} + {7m}^{2}} \cdot (5m + 2m))}{7m \cdot ({5m}^{2} + (5m \cdot 2m) + {2m}^{2})}

Next Step Prepare to Evaluate

∴

R A/V = 3 \cdot \frac{5^{2} + 2^{2} + (\sqrt{{(2 - 5)}^{2} + 7^{2}} \cdot (5 + 2))}{7 \cdot (5^{2} + (5 \cdot 2) + 2^{2})}

Next Step Evaluate

∴

R A/V = 0.904510019132389m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.9045m⁻¹

Surface to Volume Ratio of Truncated Cone Formula Elements

Variables

Functions

Surface to Volume Ratio of Truncated Cone

The Surface to Volume Ratio of Truncated Cone is the numerical ratio of the total surface area of Truncated Cone to the volume of Truncated Cone.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Truncated Cone

Base Radius of Truncated Cone

Base Radius of Truncated Cone is the distance between the center and any point on the circumference of the base circular surface of the Truncated Cone.

Symbol: r_Base

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Radius of Truncated Cone

Top Radius of Truncated Cone

Top Radius of Truncated Cone is the distance between the center and any point on the circumference of the top circular surface of the Truncated Cone.

Symbol: r_Top

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Radius of Truncated Cone

Height of Truncated Cone

Height of Truncated Cone is the vertical distance from the base circular surface to the top most point of the Truncated Cone.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Truncated Cone

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Surface to Volume Ratio of Truncated Cone

Go Surface to Volume Ratio of Truncated Cone given Curved Surface Area

R A/V = \frac{CSA + π \cdot ({r Base}^{2} + {r Top}^{2})}{\frac{π \cdot ({r Base}^{2} + (r Base \cdot r Top) + {r Top}^{2})}{3} \cdot \sqrt{{(\frac{CSA}{π \cdot (r Base + r Top)})}^{2} - {(r Base - r Top)}^{2}}}

Go Surface to Volume Ratio of Truncated Cone given Slant Height

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

How to Evaluate Surface to Volume Ratio of Truncated Cone?

Surface to Volume Ratio of Truncated Cone evaluator uses Surface to Volume Ratio of Truncated Cone = 3*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2+(sqrt((Top Radius of Truncated Cone-Base Radius of Truncated Cone)^2+Height of Truncated Cone^2)*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)))/(Height of Truncated Cone*(Base Radius of Truncated Cone^2+(Base Radius of Truncated Cone*Top Radius of Truncated Cone)+Top Radius of Truncated Cone^2)) to evaluate the Surface to Volume Ratio of Truncated Cone, The Surface to Volume Ratio of Truncated Cone formula is defined as the numerical ratio of the total surface area of Truncated Cone to the volume of Truncated Cone. Surface to Volume Ratio of Truncated Cone is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Truncated Cone

What is the formula to find Surface to Volume Ratio of Truncated Cone?

The formula of Surface to Volume Ratio of Truncated Cone is expressed as Surface to Volume Ratio of Truncated Cone = 3*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2+(sqrt((Top Radius of Truncated Cone-Base Radius of Truncated Cone)^2+Height of Truncated Cone^2)*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)))/(Height of Truncated Cone*(Base Radius of Truncated Cone^2+(Base Radius of Truncated Cone*Top Radius of Truncated Cone)+Top Radius of Truncated Cone^2)). Here is an example- 0.90451 = 3*(5^2+2^2+(sqrt((2-5)^2+7^2)*(5+2)))/(7*(5^2+(5*2)+2^2)).

How to calculate Surface to Volume Ratio of Truncated Cone?

With Base Radius of Truncated Cone (r_Base), Top Radius of Truncated Cone (r_Top) & Height of Truncated Cone (h) we can find Surface to Volume Ratio of Truncated Cone using the formula - Surface to Volume Ratio of Truncated Cone = 3*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2+(sqrt((Top Radius of Truncated Cone-Base Radius of Truncated Cone)^2+Height of Truncated Cone^2)*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)))/(Height of Truncated Cone*(Base Radius of Truncated Cone^2+(Base Radius of Truncated Cone*Top Radius of Truncated Cone)+Top Radius of Truncated Cone^2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Truncated Cone?

Here are the different ways to Calculate Surface to Volume Ratio of Truncated Cone-

Surface to Volume Ratio of Truncated Cone=(Curved Surface Area of Truncated Cone+pi*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2))/((pi*(Base Radius of Truncated Cone^2+(Base Radius of Truncated Cone*Top Radius of Truncated Cone)+Top Radius of Truncated Cone^2))/3*sqrt((Curved Surface Area of Truncated Cone/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone)))^2-(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2))
Surface to Volume Ratio of Truncated Cone=(3*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2+(Slant Height of Truncated Cone*(Base Radius of Truncated Cone+Top Radius of Truncated Cone))))/(sqrt(Slant Height of Truncated Cone^2-(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2)*(Base Radius of Truncated Cone^2+(Base Radius of Truncated Cone*Top Radius of Truncated Cone)+Top Radius of Truncated Cone^2))

Can the Surface to Volume Ratio of Truncated Cone be negative?

No, the Surface to Volume Ratio of Truncated Cone, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Truncated Cone?

Surface to Volume Ratio of Truncated Cone 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 Truncated Cone can be measured.

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Surface to Volume Ratio of Truncated Cone Formula

​GoSurface to Volume Ratio of Truncated Cone given Curved Surface Area Formula

​GoSurface to Volume Ratio of Truncated Cone given Slant Height Formula

Surface to Volume Ratio of Truncated Cone Example

Surface to Volume Ratio of Truncated Cone Solution

Surface to Volume Ratio of Truncated Cone Formula Elements

Other Formulas to find Surface to Volume Ratio of Truncated Cone

How to Evaluate Surface to Volume Ratio of Truncated Cone?

FAQs on Surface to Volume Ratio of Truncated Cone

Variable Name

GoSurface to Volume Ratio of Truncated Cone given Curved Surface Area Formula

GoSurface to Volume Ratio of Truncated Cone given Slant Height Formula