Q: What is the mass of a gold sphere that displaces 2.3 mL of water?

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The center of mass of a sphere is its geometric center.

It depends on the information you have. You could put the sphere on a flat surface and lower a horizontal plane onto it so that it just touches the top of the sphere. The distance between the flat surface and the horizontal plane is the sphere's diameter; the radius is half that. Or you could measure its volume by measuring the amount of fluid (water) that it displaces in a measuring container or the overflow from any full container. Then use the formula V = 4/3*pi*R3 to work out the radius. If you knew the density of the material of the sphere, you could measure its mass and work out its volume that way.

mass moment of inertia for a solid sphere: I = (2 /5) * mass * radius2 (mass in kg, radius in metres)

Since gold is 19.32 grams per ml and water is 1 gram per ml they both have the same mass

By studying the displacement of water caused by pure gold and silver of the same mass, he proved that the gold crown was not of pure gold as claimed by the jeweller.

Related questions

The mass is 1 367 g.

The volume of the rock is the amount of water it displaces, 250ml. Considering that 1ml of water has a mass of 1 mg, the mass of the rock is 5.63 x 250gm = 1,407.5mg.

Determine the objects mass then submerse it in water, the volume of the water displaced is equal to the objects volume. Now get an equal mass of gold and submerse that in the the same amount of water and record the volume of water it displaces. If the volume of water displaced by the first object is eqaul to the volume of water displaced by the gold then the first object is made out of gold, if however the volumes dont match then it is not made out of gold.

Determine its volume by how much water it displaces, then divide mass by volume

Because we take the water's space so it needs to rise. It was discovered by Aristotle when he fulled his bath full of water and it overflowed.

Negative buoyancy occurs when an object displaces less than its mass of whatever its not floating in. A liter of water has a mass of 1kg, but displaces less than 10g of air, so water sinks in air.

Because the mass of the boat is less than the mass of water the boat displaces.

Yes. A floating object displaces its own mass in water.

Float

If the object floats you can calculate its mass by the amount of water it displaces and its size. If it doesn't float i am not sure.

No relationship at all. But there is a definite and direct relationship between theamount of water than an object displaces and the object's volume.

No. That only tells you the diver's volume.