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The diameter of a metallic ball is 4.2 . what is the mass of the ball if the density of the metal is 8.9 g per cm cube
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The diameter of a metallic ball is 4.2 . what is the mass of the ball ...
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The diameter of a metallic ball is 4.2 . what is the mass of the ball ...
The mass of a metallic ball can be calculated using the formula:
\[ \text{Mass} = \text{Density} \times \text{Volume} \]
To find the volume of the ball, we need to know its radius. The radius is half the diameter, so in this case, the radius would be \( \frac{4.2}{2} = 2.1 \) cm.
Now we can calculate the volume of the ball using the formula for the volume of a sphere:
\[ \text{Volume} = \frac{4}{3} \pi \times \text{radius}^3 \]
Substituting the values, we get:
\[ \text{Volume} = \frac{4}{3} \pi \times 2.1^3 \]
Simplifying the expression, we find:
\[ \text{Volume} \approx 39.916 \, \text{cm}^3 \]
Next, we can substitute the density and volume values into the mass formula:
\[ \text{Mass} = 8.9 \, \text{g/cm}^3 \times 39.916 \, \text{cm}^3 \]
Calculating the expression, we find:
\[ \text{Mass} \approx 354.7024 \, \text{g} \]
Therefore, the mass of the metallic ball is approximately 354.7024 grams.
To summarize:
- The diameter of the metallic ball is given as 4.2 cm.
- The radius of the ball is half the diameter, so it is 2.1 cm.
- The volume of the ball is calculated using the formula \( \frac{4}{3} \pi \times \text{radius}^3 \).
- Substituting the values, the volume is approximately 39.916 cm^3.
- The density of the metal is given as 8.9 g/cm^3.
- The mass of the ball is calculated using the formula \text{Mass} = \text{Density} \times \text{Volume}.
- Substituting the density and volume values, the mass is approximately 354.7024 g.
\[ \text{Mass} = \text{Density} \times \text{Volume} \]
To find the volume of the ball, we need to know its radius. The radius is half the diameter, so in this case, the radius would be \( \frac{4.2}{2} = 2.1 \) cm.
Now we can calculate the volume of the ball using the formula for the volume of a sphere:
\[ \text{Volume} = \frac{4}{3} \pi \times \text{radius}^3 \]
Substituting the values, we get:
\[ \text{Volume} = \frac{4}{3} \pi \times 2.1^3 \]
Simplifying the expression, we find:
\[ \text{Volume} \approx 39.916 \, \text{cm}^3 \]
Next, we can substitute the density and volume values into the mass formula:
\[ \text{Mass} = 8.9 \, \text{g/cm}^3 \times 39.916 \, \text{cm}^3 \]
Calculating the expression, we find:
\[ \text{Mass} \approx 354.7024 \, \text{g} \]
Therefore, the mass of the metallic ball is approximately 354.7024 grams.
To summarize:
- The diameter of the metallic ball is given as 4.2 cm.
- The radius of the ball is half the diameter, so it is 2.1 cm.
- The volume of the ball is calculated using the formula \( \frac{4}{3} \pi \times \text{radius}^3 \).
- Substituting the values, the volume is approximately 39.916 cm^3.
- The density of the metal is given as 8.9 g/cm^3.
- The mass of the ball is calculated using the formula \text{Mass} = \text{Density} \times \text{Volume}.
- Substituting the density and volume values, the mass is approximately 354.7024 g.
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The diameter of a metallic ball is 4.2 . what is the mass of the ball if the density of the metal is 8.9 g per cm cube Related: NCERT Solutions Chapter 13 - Surface Areas and Volumes, Class 9, Maths for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The diameter of a metallic ball is 4.2 . what is the mass of the ball if the density of the metal is 8.9 g per cm cube Related: NCERT Solutions Chapter 13 - Surface Areas and Volumes, Class 9, Maths covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The diameter of a metallic ball is 4.2 . what is the mass of the ball if the density of the metal is 8.9 g per cm cube Related: NCERT Solutions Chapter 13 - Surface Areas and Volumes, Class 9, Maths.
The diameter of a metallic ball is 4.2 . what is the mass of the ball if the density of the metal is 8.9 g per cm cube Related: NCERT Solutions Chapter 13 - Surface Areas and Volumes, Class 9, Maths for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The diameter of a metallic ball is 4.2 . what is the mass of the ball if the density of the metal is 8.9 g per cm cube Related: NCERT Solutions Chapter 13 - Surface Areas and Volumes, Class 9, Maths covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The diameter of a metallic ball is 4.2 . what is the mass of the ball if the density of the metal is 8.9 g per cm cube Related: NCERT Solutions Chapter 13 - Surface Areas and Volumes, Class 9, Maths.
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