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A spherical object has a mass of 36.6 kg and a radius of 22.2

cm. When submerged in a fluid, it has a weight of 246N. What is the

density of the fluid?

Answer :

Final answer:

The density of the fluid is 36.6 kg divided by the volume of the spherical object.

Explanation:

To calculate the density of the fluid, we can use Archimedes' principle and the given information. First, let's calculate the volume of the spherical object.

The volume of a sphere can be calculated using the formula:

Volume = (4/3) * π * radius^3

Substituting the given radius of 22.2 cm into the formula, we get:

Volume = (4/3) * π * (22.2 cm)^3

Next, let's calculate the weight of the fluid displaced by the object. The weight of the fluid displaced is equal to the weight of the object when submerged. In this case, the weight of the object when submerged is given as 246 N.

Now, we can use the formula for density:

Density = mass / volume

Substituting the given mass of 36.6 kg and the calculated volume into the formula, we get:

Density = 36.6 kg / (volume)

Finally, we can calculate the density of the fluid:

Density = 36.6 kg / (volume)

Learn more about density of a fluid here:

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