The Table Shows The Diameters Of The Planets In Our Solar System. Assume That A Basketball With A Diameter Of 25 Centimeters Represents The Planet Jupiter. 1. Find The Scale (ratio) Between Jupiter And The Basketball. 2. Use This Ratio To Find The

Mar 9, 2025 by ADMIN 248 views

The Table Shows the Diameters of the Planets in Our Solar System

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Introduction

The solar system is a vast and complex place, consisting of eight planets, dwarf planets, asteroids, comets, and other smaller bodies. Each planet has its unique characteristics, including size, shape, and composition. In this article, we will focus on the diameters of the planets in our solar system and use a basketball to represent the planet Jupiter.

The Diameters of the Planets

The table below shows the diameters of the planets in our solar system:

Planet	Diameter (km)
Mercury	4,879
Venus	12,104
Earth	12,742
Mars	6,794
Jupiter	142,984
Saturn	116,464
Uranus	51,118
Neptune	49,528

Problem 1: Finding the Scale (Ratio) Between Jupiter and the Basketball

A basketball with a diameter of 25 centimeters represents the planet Jupiter. To find the scale (ratio) between Jupiter and the basketball, we need to divide the diameter of Jupiter by the diameter of the basketball.

Step 1: Convert the Diameter of Jupiter from Kilometers to Centimeters

To find the scale (ratio) between Jupiter and the basketball, we need to convert the diameter of Jupiter from kilometers to centimeters. There are 100 centimeters in 1 meter, and 1000 meters in 1 kilometer.

# Convert the diameter of Jupiter from kilometers to centimeters
diameter_jupiter_km = 142984
diameter_jupiter_cm = diameter_jupiter_km * 100 * 100
print(diameter_jupiter_cm)

Step 2: Find the Scale (Ratio) Between Jupiter and the Basketball

Now that we have the diameter of Jupiter in centimeters, we can find the scale (ratio) between Jupiter and the basketball by dividing the diameter of Jupiter by the diameter of the basketball.

# Find the scale (ratio) between Jupiter and the basketball
diameter_basketball_cm = 25
scale_ratio = diameter_jupiter_cm / diameter_basketball_cm
print(scale_ratio)

Problem 2: Using the Ratio to Find the Diameters of the Other Planets

Now that we have the scale (ratio) between Jupiter and the basketball, we can use it to find the diameters of the other planets in our solar system.

Step 1: Find the Diameter of Mercury

To find the diameter of Mercury, we can multiply the diameter of the basketball by the scale (ratio) and then divide by the scale (ratio) of Mercury.

# Find the diameter of Mercury
diameter_mercury_km = 4879
scale_ratio_mercury = diameter_mercury_km / diameter_basketball_cm
diameter_mercury_cm = diameter_basketball_cm * scale_ratio_mercury
print(diameter_mercury_cm)

Step 2: Find the Diameter of Venus

To find the diameter of Venus, we can multiply the diameter of the basketball by the scale (ratio) and then divide by the scale (ratio) of Venus.

# Find the diameter of Venus
diameter_venus_km = 12104
scale_ratio_venus = diameter_venus_km / diameter_basketball_cm
diameter_venus_cm = diameter_basketball_cm * scale_ratio_venus
print(diameter_venus_cm)

Step 3: Find the Diameter of Earth

To find the diameter of Earth, we can multiply the diameter of the basketball by the scale (ratio) and then divide by the scale (ratio) of Earth.

# Find the diameter of Earth
diameter_earth_km = 12742
scale_ratio_earth = diameter_earth_km / diameter_basketball_cm
diameter_earth_cm = diameter_basketball_cm * scale_ratio_earth
print(diameter_earth_cm)

Step 4: Find the Diameter of Mars

To find the diameter of Mars, we can multiply the diameter of the basketball by the scale (ratio) and then divide by the scale (ratio) of Mars.

# Find the diameter of Mars
diameter_mars_km = 6794
scale_ratio_mars = diameter_mars_km / diameter_basketball_cm
diameter_mars_cm = diameter_basketball_cm * scale_ratio_mars
print(diameter_mars_cm)

Step 5: Find the Diameter of Saturn

To find the diameter of Saturn, we can multiply the diameter of the basketball by the scale (ratio) and then divide by the scale (ratio) of Saturn.

# Find the diameter of Saturn
diameter_saturn_km = 116464
scale_ratio_saturn = diameter_saturn_km / diameter_basketball_cm
diameter_saturn_cm = diameter_basketball_cm * scale_ratio_saturn
print(diameter_saturn_cm)

Step 6: Find the Diameter of Uranus

To find the diameter of Uranus, we can multiply the diameter of the basketball by the scale (ratio) and then divide by the scale (ratio) of Uranus.

# Find the diameter of Uranus
diameter_uranus_km = 51118
scale_ratio_uranus = diameter_uranus_km / diameter_basketball_cm
diameter_uranus_cm = diameter_basketball_cm * scale_ratio_uranus
print(diameter_uranus_cm)

Step 7: Find the Diameter of Neptune

To find the diameter of Neptune, we can multiply the diameter of the basketball by the scale (ratio) and then divide by the scale (ratio) of Neptune.

# Find the diameter of Neptune
diameter_neptune_km = 49528
scale_ratio_neptune = diameter_neptune_km / diameter_basketball_cm
diameter_neptune_cm = diameter_basketball_cm * scale_ratio_neptune
print(diameter_neptune_cm)

Conclusion

In this article, we used a basketball to represent the planet Jupiter and found the scale (ratio) between Jupiter and the basketball. We then used this ratio to find the diameters of the other planets in our solar system. This exercise demonstrates the importance of scale and proportion in understanding the sizes of celestial bodies.

References

NASA. (2022). Planetary Fact Sheets.
National Geographic. (2022). Planets of Our Solar System.

Note: The code used in this article is for illustrative purposes only and may not be optimized for production use.

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Introduction

In our previous article, we explored the diameters of the planets in our solar system using a basketball to represent the planet Jupiter. We found the scale (ratio) between Jupiter and the basketball and used it to find the diameters of the other planets. In this article, we will answer some frequently asked questions (FAQs) related to the diameters of the planets in our solar system.

Q: What is the scale (ratio) between Jupiter and the basketball?

A: The scale (ratio) between Jupiter and the basketball is approximately 571.96:1. This means that for every 1 centimeter of the basketball, Jupiter is approximately 571.96 centimeters in diameter.

Q: How do you convert the diameter of Jupiter from kilometers to centimeters?

A: To convert the diameter of Jupiter from kilometers to centimeters, you can multiply the diameter in kilometers by 100,000 (since there are 100 centimeters in 1 meter and 1000 meters in 1 kilometer).

Q: What is the diameter of Mercury in centimeters?

A: The diameter of Mercury is approximately 4,879 kilometers. To convert this to centimeters, you can multiply 4,879 by 100,000, which gives you a diameter of approximately 487,900 centimeters.

Q: What is the diameter of Venus in centimeters?

A: The diameter of Venus is approximately 12,104 kilometers. To convert this to centimeters, you can multiply 12,104 by 100,000, which gives you a diameter of approximately 1,210,400 centimeters.

Q: What is the diameter of Earth in centimeters?

A: The diameter of Earth is approximately 12,742 kilometers. To convert this to centimeters, you can multiply 12,742 by 100,000, which gives you a diameter of approximately 1,274,200 centimeters.

Q: What is the diameter of Mars in centimeters?

A: The diameter of Mars is approximately 6,794 kilometers. To convert this to centimeters, you can multiply 6,794 by 100,000, which gives you a diameter of approximately 679,400 centimeters.

Q: What is the diameter of Saturn in centimeters?

A: The diameter of Saturn is approximately 116,464 kilometers. To convert this to centimeters, you can multiply 116,464 by 100,000, which gives you a diameter of approximately 11,646,400 centimeters.

Q: What is the diameter of Uranus in centimeters?

A: The diameter of Uranus is approximately 51,118 kilometers. To convert this to centimeters, you can multiply 51,118 by 100,000, which gives you a diameter of approximately 5,111,800 centimeters.

Q: What is the diameter of Neptune in centimeters?

A: The diameter of Neptune is approximately 49,528 kilometers. To convert this to centimeters, you can multiply 49,528 by 100,000, which gives you a diameter of approximately 4,952,800 centimeters.

Q: How do you find the scale (ratio) between two planets?

A: To find the scale (ratio) between two planets, you can divide the diameter of the larger planet by the diameter of the smaller planet.

Q: What is the scale (ratio) between Earth and Mars?

A: The scale (ratio) between Earth and Mars is approximately 1.87:1. This means that for every 1 centimeter of Mars, Earth is approximately 1.87 centimeters in diameter.

Q: What is the scale (ratio) between Jupiter and Saturn?

A: The scale (ratio) between Jupiter and Saturn is approximately 1.22:1. This means that for every 1 centimeter of Saturn, Jupiter is approximately 1.22 centimeters in diameter.

Conclusion

In this article, we answered some frequently asked questions (FAQs) related to the diameters of the planets in our solar system. We hope that this information has been helpful in understanding the sizes of the planets in our solar system.

References

NASA. (2022). Planetary Fact Sheets.
National Geographic. (2022). Planets of Our Solar System.

Note: The answers to the FAQs are based on the information provided in our previous article and may not be comprehensive or up-to-date.