Exercise
https://texercises.com/exercise/radius-of-a-billiard-ball/
Question
Solution
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Billiard ball rack
, 2007, digital photograph, Wikipedia
<Wikipedia> (retrieved on October 31, 2022)
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The following quantities appear in the problem: Masse \(m\) / Volumen \(V\) / Radius \(r\) / Dichte \(\varrho\) /
The following formulas must be used to solve the exercise: \(\varrho = \dfrac{m}{V} \quad \) \(V = \dfrac{4}{3}\pi r^3 \quad \)
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Exercise:
Billiard balls are made of a phenolic resin called BrandNameAramith with kilogrampercubicmeter density. What is the radius of a Billiard ball if its mass is known to be g?

Solution:
Geg rho kilogrampercubicmeter m g .kilogram GesRadiusrsim The volume of a ball with the mentioned mass is: V fracmrho frac.kg.ekilogrampercubicmeter .cubicmeter Therefore the radius of the ball is: r sqrtfracVpi sqrtfracfracmrhopi sqrtfracmpirho .m .cm. r sqrtfracmpirho .m
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\(\LaTeX\)-Code
Exercise:
Billiard balls are made of a phenolic resin called BrandNameAramith with kilogrampercubicmeter density. What is the radius of a Billiard ball if its mass is known to be g?

Solution:
Geg rho kilogrampercubicmeter m g .kilogram GesRadiusrsim The volume of a ball with the mentioned mass is: V fracmrho frac.kg.ekilogrampercubicmeter .cubicmeter Therefore the radius of the ball is: r sqrtfracVpi sqrtfracfracmrhopi sqrtfracmpirho .m .cm. r sqrtfracmpirho .m
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Attributes & Decorations
Tags
aramith, billard, billiard, density, dichte, kugel, mechanik, physics, physik, radius, resin, sphere, volumen
Content image
Billiard ball rack
Difficulty
(2, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link