Anonymous
Anonymous asked in Science & MathematicsPhysics · 1 month ago

# Physics problem?

I keep getting 1.26x10^-29 but the correct answer is 4x10^35m^3. Can someone explain what I'm doing wrong?

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• NCS
Lv 7
1 month ago

volume of a sphere = (4π/3)r³

so for a single proton

V = (4π/3)*(1E-15m)³ = 4.2E-45 m³

You've got 10^80 (1E80) of them, so the total volume of all of the protons is 4.2E-45m³ * 1E80 = 4.2E35 m³ ◄

which should be rounded to 4E35 m³ as you've indicated.

I can't fathom how you got to 1.26x10^-29, so it isn't possible to explain what you're doing wrong. You are 64 orders of magnitude off. Hard to figure.

It might be interesting to note a couple of things.

1. A sphere of that volume has radius 4.6E11 m (about twice Mars' average distance from the sun).

2. If the protons are placed "in contact with one another," the actual volume of the sphere would be about 30% larger due to all of the tiny voids between the spheres.

3. Since all of these protons are positively charged, the forces required to create such an arrangement are unimaginable!