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

GoSurface to Volume Ratio of Truncated Cone 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 = \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}}}

R_A/V - Surface to Volume Ratio of Truncated Cone?CSA - Curved Surface Area of Truncated Cone?r_Base - Base Radius of Truncated Cone?r_Top - Top Radius of Truncated Cone?π - Archimedes' constant?

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

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

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

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

0.8974 = \frac{170 + 3.1416 \cdot (5^{2} + 2^{2})}{\frac{3.1416 \cdot (5^{2} + (5 \cdot 2) + 2^{2})}{3} \cdot \sqrt{{(\frac{170}{3.1416 \cdot (5 + 2)})}^{2} - {(5 - 2)}^{2}}}

0.8974m⁻¹ = \frac{170m² + 3.1416 \cdot ({5m}^{2} + {2m}^{2})}{\frac{3.1416 \cdot ({5m}^{2} + (5m \cdot 2m) + {2m}^{2})}{3} \cdot \sqrt{{(\frac{170m²}{3.1416 \cdot (5m + 2m)})}^{2} - {(5m - 2m)}^{2}}}

0.8974 = \frac{170 + 3.1416 \cdot (5^{2} + 2^{2})}{\frac{3.1416 \cdot (5^{2} + (5 \cdot 2) + 2^{2})}{3} \cdot \sqrt{{(\frac{170}{3.1416 \cdot (5 + 2)})}^{2} - {(5 - 2)}^{2}}}

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

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

FIRST Step Consider the formula

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}}}

Next Step Substitute values of Variables

∴

R A/V = \frac{170m² + π \cdot ({5m}^{2} + {2m}^{2})}{\frac{π \cdot ({5m}^{2} + (5m \cdot 2m) + {2m}^{2})}{3} \cdot \sqrt{{(\frac{170m²}{π \cdot (5m + 2m)})}^{2} - {(5m - 2m)}^{2}}}

Next Step Substitute values of Constants

∴

R A/V = \frac{170m² + 3.1416 \cdot ({5m}^{2} + {2m}^{2})}{\frac{3.1416 \cdot ({5m}^{2} + (5m \cdot 2m) + {2m}^{2})}{3} \cdot \sqrt{{(\frac{170m²}{3.1416 \cdot (5m + 2m)})}^{2} - {(5m - 2m)}^{2}}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{170 + 3.1416 \cdot (5^{2} + 2^{2})}{\frac{3.1416 \cdot (5^{2} + (5 \cdot 2) + 2^{2})}{3} \cdot \sqrt{{(\frac{170}{3.1416 \cdot (5 + 2)})}^{2} - {(5 - 2)}^{2}}}

Next Step Evaluate

∴

R A/V = 0.897363036708529m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.8974m⁻¹

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

Variables

Constants

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

Curved Surface Area of Truncated Cone

Curved Surface Area of Truncated Cone is the quantity of plane enclosed on curved surfaces (that is, top and bottom faces are excluded) of the Truncated Cone.

Symbol: CSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Curved Surface Area 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

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

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

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})}

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 given Curved Surface Area?

Surface to Volume Ratio of Truncated Cone given Curved Surface Area evaluator uses 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)) to evaluate the Surface to Volume Ratio of Truncated Cone, The Surface to Volume Ratio of Truncated Cone given Curved Surface Area formula is defined as the numerical ratio of the total surface area of Truncated Cone to the volume of Truncated Cone, and calculated using the curved surface area 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 given Curved Surface Area using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Truncated Cone given Curved Surface Area, enter Curved Surface Area of Truncated Cone (CSA), Base Radius of Truncated Cone (r_Base) & Top Radius of Truncated Cone (r_Top) and hit the calculate button.

FAQs on Surface to Volume Ratio of Truncated Cone given Curved Surface Area

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

The formula of Surface to Volume Ratio of Truncated Cone given Curved Surface Area is expressed as 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)). Here is an example- 0.897363 = (170+pi*(5^2+2^2))/((pi*(5^2+(5*2)+2^2))/3*sqrt((170/(pi*(5+2)))^2-(5-2)^2)).

How to calculate Surface to Volume Ratio of Truncated Cone given Curved Surface Area?

With Curved Surface Area of Truncated Cone (CSA), Base Radius of Truncated Cone (r_Base) & Top Radius of Truncated Cone (r_Top) we can find Surface to Volume Ratio of Truncated Cone given Curved Surface Area using the formula - 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)). This formula also uses Archimedes' constant and 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=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))
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 given Curved Surface Area be negative?

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

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

Surface to Volume Ratio of Truncated Cone given Curved Surface Area 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 given Curved Surface Area can be measured.

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

​GoSurface to Volume Ratio of Truncated Cone Formula

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

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

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

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

Other Formulas to find Surface to Volume Ratio of Truncated Cone

How to Evaluate Surface to Volume Ratio of Truncated Cone given Curved Surface Area?

FAQs on Surface to Volume Ratio of Truncated Cone given Curved Surface Area

Variable Name

GoSurface to Volume Ratio of Truncated Cone Formula

GoSurface to Volume Ratio of Truncated Cone given Slant Height Formula