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Mass of Cone Formula

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Mass of Cone can be calculated using its volume and the density of the material it is made of. Check FAQs

M co = \frac{1}{3} \cdot π \cdot ρ \cdot H c \cdot {R c}^{2}

M_co - Mass of Cone?ρ - Density?H_c - Height of Cone?R_c - Radius of Cone?π - Archimedes' constant?

Mass of Cone Example

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Here is how the Mass of Cone equation looks like with Values.

Here is how the Mass of Cone equation looks like with Units.

Here is how the Mass of Cone equation looks like.

593.4514 = \frac{1}{3} \cdot 3.1416 \cdot 998 \cdot 0.525 \cdot {1.04}^{2}

593.4514kg = \frac{1}{3} \cdot 3.1416 \cdot 998kg/m³ \cdot 0.525m \cdot {1.04m}^{2}

593.4514 = \frac{1}{3} \cdot 3.1416 \cdot 998 \cdot 0.525 \cdot {1.04}^{2}

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Mass of Cone Solution

Follow our step by step solution on how to calculate Mass of Cone?

FIRST Step Consider the formula

M co = \frac{1}{3} \cdot π \cdot ρ \cdot H c \cdot {R c}^{2}

Next Step Substitute values of Variables

∴

M co = \frac{1}{3} \cdot π \cdot 998kg/m³ \cdot 0.525m \cdot {1.04m}^{2}

Next Step Substitute values of Constants

∴

M co = \frac{1}{3} \cdot 3.1416 \cdot 998kg/m³ \cdot 0.525m \cdot {1.04m}^{2}

Next Step Prepare to Evaluate

∴

M co = \frac{1}{3} \cdot 3.1416 \cdot 998 \cdot 0.525 \cdot {1.04}^{2}

Next Step Evaluate

∴

M co = 593.451376156533kg

LAST Step Rounding Answer

∴

M co = 593.4514kg

Mass of Cone Formula Elements

Variables

Constants

Mass of Cone

Mass of Cone can be calculated using its volume and the density of the material it is made of.

Symbol: M_co

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Mass of Cone

Density

The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Height of Cone

Height of Cone is measure of vertical distance, either vertical extent or vertical position.

Symbol: H_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Cone

Radius of Cone

Radius of Cone is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

Symbol: R_c

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of 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

Other formulas in Mass of Solids category

Go Mass of Solid Cylinder

M sc = π \cdot ρ \cdot H \cdot {R cyl}^{2}

Go Mass of Cuboid

M cu = ρ \cdot L \cdot H \cdot w

Go Mass of Solid Sphere

M ss = \frac{4}{3} \cdot π \cdot ρ \cdot {R s}^{3}

Go Mass of Rectangular Plate

M rp = ρ \cdot B \cdot t \cdot L rect

How to Evaluate Mass of Cone?

Mass of Cone evaluator uses Mass of Cone = 1/3*pi*Density*Height of Cone*Radius of Cone^2 to evaluate the Mass of Cone, The Mass of cone formula is defined as the 1/3 times of π multiplied to the product of density of cone, height of cone and square of the radius of the cone. Mass of Cone is denoted by M_co symbol.

How to evaluate Mass of Cone using this online evaluator? To use this online evaluator for Mass of Cone, enter Density (ρ), Height of Cone (H_c) & Radius of Cone (R_c) and hit the calculate button.

FAQs on Mass of Cone

What is the formula to find Mass of Cone?

The formula of Mass of Cone is expressed as Mass of Cone = 1/3*pi*Density*Height of Cone*Radius of Cone^2. Here is an example- 593.4514 = 1/3*pi*998*0.525*1.04^2.

How to calculate Mass of Cone?

With Density (ρ), Height of Cone (H_c) & Radius of Cone (R_c) we can find Mass of Cone using the formula - Mass of Cone = 1/3*pi*Density*Height of Cone*Radius of Cone^2. This formula also uses Archimedes' constant .

Can the Mass of Cone be negative?

Yes, the Mass of Cone, measured in Weight can be negative.

Which unit is used to measure Mass of Cone?

Mass of Cone is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Mass of Cone can be measured.

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