pls help due soon

Question

The radius of Jupiter is about 69.0 × 10³ km. The radius of the Earth is about 6000.0 km. How many Earth volumes would fit inside Jupiter's volume?

Answer 1

So, first we should identify exactly what the question is asking us. The question asks "how many Earth volumes would fit inside Jupiter's volume?" We can express this as a ratio:

V_Jupiter / V_Earth

Both Jupiter and Earth are spheres, and the volume of a sphere is given by:

V = (4/3) * π * r^3

We can substitute this formula into the above expression:

V_Jupiter / V_Earth = 4/3 * π * r_Jupiter^3 / 4/3 * π * r_Earth^3

We see that 4/3 * π is in both the numerator and denominator of our expression, we can can cancel those out:

V_Jupiter / V_Earth = r_Jupiter^3 / r_Earth^3

Now, we can plug in the numbers given in the question:

V_Jupiter / V_Earth = (69.0 × 10³)^3 / 6000^3 = 1520.875

So, about 1520 Earths would fit inside Jupiter!