# 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

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:

$\overline{){\mathbf{density}}{\mathbf{=}}\frac{\mathbf{mass}}{\mathbf{volume}}}$

Also, the volume of a sphere is given by:

$\overline{){\mathbf{V}}{\mathbf{=}}\frac{\mathbf{4}}{\mathbf{3}}{{\mathbf{\pi r}}}^{{\mathbf{3}}}}$

where:

r = radius. Recall that diameter = 2r.

###### 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

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Density concept. You can view video lessons to learn Density. Or if you need more Density practice, you can also practice Density practice problems.

What is the difficulty of this problem?

Our tutors rated the difficulty ofThe estimated mass of the planet Jupiter is 1.90 × 10 27 kg ...as medium difficulty.

How long does this problem take to solve?

Our expert Chemistry tutor, Jules took 4 minutes and 53 seconds to solve this problem. You can follow their steps in the video explanation above.

What professor is this problem relevant for?

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