SOLUTION: I have received this question in my Magnet program class and I have been trying to figure it out for 3 days. Please HELP! The equatorial daimeter of the Earth is 7,923 miles.

Algebra ->  Volume -> SOLUTION: I have received this question in my Magnet program class and I have been trying to figure it out for 3 days. Please HELP! The equatorial daimeter of the Earth is 7,923 miles.      Log On


   

Question 14681: I have received this question in my Magnet program class and I have been trying to figure it out for 3 days. Please HELP!

The equatorial daimeter of the Earth is 7,923 miles. The equatorial diameter of Jupiter is 88,944 miles. Use the fact that 1 mile = 1.61 kilometers to convert each diameter to kilometers. Round your answers to the nearest whole kiolmeter. Then use the formula V=4/3 pi cube to determine the volume of each planet. Your answer should be inter terms of km cube. Finally, answer the question of how many complete Earths will fit inside of Jupiter. (Disregard Negative space).
Problem should be solved by diameter conversions, volume of the panets and final answer. Please show all work.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
For 3 days, huh?
1) Convert the diameters to km using the given 1 mile = 1.61 km.
Earth's equatorial diameter: 7,923 miles = 7,923 miles(1.61 km/mile) = 12,756 km.
Jupiter's equatorial diameter: 88,944 miles = 88,944 (1.61 km/mile) 143,200 km.
2) Volume of a sphere: V+=+%284%2F3%29pi%2Ar%5E3
Volume of the earth: V+=+%284%2F3%29%2Api%2A%2812756%2F2%29%5E3 Radius = (1/2)diameter. Use:pi+=+3.14
V+=+1.0862303407%2A10%5E12 km cubed.
Volume of Jupiter: V+=+%284%2F3%29%2Api%2A%28143200%2F2%29%5E3
See if you can work this out yourself.
When you have found the volume of Jupiter, divide this number by the volume of the earth to find out how many earths will fit inside Jupiter.
Good luck!