"The diameter of a hydrogen nucleus is 1.0x10^-3 pm and mass is 1.67x10^-24. What is the density of the nucleus in grams per cubic centimeter? Assume the nucleus is a sphere with volume (4/3)(pi)(3)^3."

How would you get the answer? And more specifically, should I divide the "diameter" to 2 to find the radius needed for the sphere's volume and convert it to centimeters after? Or should I just convert it?

Question

"The diameter of a hydrogen nucleus is 1.0x10^-3 pm and mass is 1.67x10^-24. What is the density of the nucleus in grams per cubic centimeter? Assume the nucleus is a sphere with volume (4/3)(pi)(3)^3."

How would you get the answer? And more specifically, should I divide the "diameter" to 2 to find the radius needed for the sphere's volume and convert it to centimeters after? Or should I just convert it?

taramgrant0543664 · Answer

The formula for a sphere is (4/3)(Pi)r^3 so you would have to divide the diameter by two before you continue with calculations. As for converting it you can do it before or after it doesn't matter
Density=mass / volume       <-- this formula will let you get the density of the nucleus