Answer the following questions focusing on density. A solid metal sphere has a v

Question

Answer the following questions focusing on density. A solid metal sphere has a volume of 4.2 ft^3. The mass of the sphere is 155 Ib. Find the density of the metal sphere in grams per cubic centimeter. A liquid sample was determined to have a density of 0.915 g/mL. What is the mass of 85.5 mL of the liquid A sample containing 33.42 g of metal pellets is into a graduating cylinder initially containing 12.7 mL of water, causing the water level in the cylinder to rise 21.6 mL. Calculate the density of the metal.

Explanation / Answer

The answer for a

Cubic foot should be converted to Cubic centimeters

1 cubic foot = 28316.8 cubic centimeters

So 4.2 Cubit foot = 28316.8 x 4.2 = 118930.56 cubic centimeters

Pound should be converted to grams

1 pound = 453.592 grams

So 150 pound = 453.592 x 155 = 70306.76 grams

The formula for calculation density is

Density = Mass/Volume

= 70306.76/118930.56

= 0.5911 g/cubic centimeters or 0.5911 g/cm3

The answer for b

Density = Mass/Volume

We know the density, volume and have to find the mass hence we have rewrite the formula as

Mass = Density * Volume

= 0.915*85.5

Mass = 78.2325 g

The answer for c

Difference in volume (Water displaced) = Final Volume – Initial Volume

= 21.6 mL – 12.7 mL

= 8.9 mL

So Volume = 8.9 mL or 8.9 cm3

Mass of metal pellets = 33.42 g

Density = Mass/Volume

= 33.42/8.9

Density = 3.7550 g/cm3

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