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The density of gold is 19.3g per cm³.calculate the diameter of solid gold sphere having a mass of 423g.?
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The density of gold is 19.3g per cm³.calculate the diameter of solid g...
Calculating the Diameter of a Gold Sphere
Given data:
- Density of gold = 19.3g/cm³
- Mass of gold sphere = 423g
Formula to calculate volume of sphere:
- The formula for calculating the volume of a sphere is V = 4/3 * π * r³, where r is the radius of the sphere.
Calculating the volume of the gold sphere:
- Using the formula V = m / ρ, where V is the volume, m is the mass, and ρ is the density.
- Substituting the given values, V = 423g / 19.3g/cm³ = 21.9cm³.
Calculating the radius of the gold sphere:
- Since V = 4/3 * π * r³, rearrange the formula to solve for r.
- r = (3V / 4π)^(1/3) = (3 * 21.9 / (4 * 3.14))^(1/3) ≈ 2.45cm.
Calculating the diameter of the gold sphere:
- Diameter = 2 * radius = 2 * 2.45cm = 4.9cm.
Therefore, the diameter of the solid gold sphere with a mass of 423g is approximately 4.9cm.
Given data:
- Density of gold = 19.3g/cm³
- Mass of gold sphere = 423g
Formula to calculate volume of sphere:
- The formula for calculating the volume of a sphere is V = 4/3 * π * r³, where r is the radius of the sphere.
Calculating the volume of the gold sphere:
- Using the formula V = m / ρ, where V is the volume, m is the mass, and ρ is the density.
- Substituting the given values, V = 423g / 19.3g/cm³ = 21.9cm³.
Calculating the radius of the gold sphere:
- Since V = 4/3 * π * r³, rearrange the formula to solve for r.
- r = (3V / 4π)^(1/3) = (3 * 21.9 / (4 * 3.14))^(1/3) ≈ 2.45cm.
Calculating the diameter of the gold sphere:
- Diameter = 2 * radius = 2 * 2.45cm = 4.9cm.
Therefore, the diameter of the solid gold sphere with a mass of 423g is approximately 4.9cm.
Community Answer
The density of gold is 19.3g per cm³.calculate the diameter of solid g...
1.75 cm
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The density of gold is 19.3g per cm³.calculate the diameter of solid gold sphere having a mass of 423g.? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The density of gold is 19.3g per cm³.calculate the diameter of solid gold sphere having a mass of 423g.? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The density of gold is 19.3g per cm³.calculate the diameter of solid gold sphere having a mass of 423g.?.
The density of gold is 19.3g per cm³.calculate the diameter of solid gold sphere having a mass of 423g.? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The density of gold is 19.3g per cm³.calculate the diameter of solid gold sphere having a mass of 423g.? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The density of gold is 19.3g per cm³.calculate the diameter of solid gold sphere having a mass of 423g.?.
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