Problem: The estimated mass of the planet Jupiter is 1.90 × 10 27 kg and the density is believed to be 1.34 g/cm3. If Jupiter were a perfect sphere, what would be its diameter?A) 6.96 × 107 m                         B) 1.39 × 107 m                        C) 1.39 × 108 m                      D) 6.96 × 106 m

🤓 Based on our data, we think this question is relevant for Professor Berbeci's class at BC.

FREE Expert Solution
FREE Expert Solution

We’re being asked to determine the diameter of Jupiter given that it has a mass of 1.90 × 1027 kg and a density of 1.34 g/cm3.


Recall that density is the ratio of the mass and volume of an object:


density=massvolume


Also, the volume of a sphere is given by:


V=43πr3


where:

 r = radius. Recall that diameter = 2r.


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Problem Details

The estimated mass of the planet Jupiter is 1.90 × 10 27 kg and the density is believed to be 1.34 g/cm3. If Jupiter were a perfect sphere, what would be its diameter?

A) 6.96 × 107 m                         

B) 1.39 × 107 m                        

C) 1.39 × 108 m                      

D) 6.96 × 106 m

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Based on our data, we think this problem is relevant for Professor Berbeci's class at BC.