The radius of Jupiter is approximately 44,423 miles, and the radius of the Earth is approximately 3,960 miles. How many times larger is the volume of Jupiter than the volume of the Earth? Round your answer to the nearest whole number.
A. 1,412
*just did it on edge*
To find the ratio of the volumes of Jupiter and Earth, we need to compare their radii. The volume of a sphere is given by the formula V = (4/3)πr^3, where V is the volume and r is the radius.
The volume of Jupiter can be calculated as V_jupiter = (4/3)π(44423)^3.
The volume of Earth can be calculated as V_earth = (4/3)π(3960)^3.
To find how many times larger the volume of Jupiter is than Earth, we divide V_jupiter by V_earth:
Ratio = V_jupiter / V_earth
Ratio = [(4/3)π(44423)^3] / [(4/3)π(3960)^3]
The π and (4/3) terms cancel out, giving:
Ratio = (44423^3) / (3960^3)
Calculating this ratio, we find that the volume of Jupiter is approximately 1321 times larger than the volume of Earth.
Therefore, the volume of Jupiter is approximately 1321 times larger than the volume of Earth.
volume is proportinal to radius^3
volumJ/VolumeE= (rj/re)^3=(44,423/3960)^3