Osmium (os) is the densest element known (density =22.57 g/cm^3). calculate the mass in pounds and in kilograms of an os sphere 15 cm in diameter (about the size of a grapefruit) (volume of a sphere of radius r is 4/3ïr^3).

The mass of osmium in kilograms and in pounds are 318.9141 kg and 703.085 pounds.

Explanation:

To calculate the volume of sphere, we use the formula:

where,

r = radius of sphere

We are given:

Radius of osmium = 15 cm

Volume of osmium =

Density of osmium =

To calculate mass of a substance, we use the equation:

Putting values in above equation, we get:

To convert the given mass into kilo grams and pounds, we use the conversion factors:

1 kg = 1000 grams

So,

And,

1 pound = 453.592 g

So,

Hence, the mass of osmium in kilograms and in pounds are 318.9141 kg and 703.085 pounds.

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