A student obtained the following data and needs to determine the volume of a sol
ID: 560079 • Letter: A
Question
A student obtained the following data and needs to determine the volume of a solid piece of metal. The volume of water in the graduated cylinder before adding the metal was 8.5 ml. After adding the metal, the volume of water in the graduated cylinder was 33.8 ml. If the mass of the metal was determined to be 52.12 g, calculate the density for the metal. What is the height in meters of a person who is 6.25 feet tall? A student obtained the following data and needs to determine the volume of a solid piece of metal. The volume of water in the graduated cylinder before adding the metal was 8.5 ml. After adding the metal, the volume of water in the graduated cylinder was 33.8 ml. If the mass of the metal was determined to be 52.12 g, calculate the density for the metal. What is the height in meters of a person who is 6.25 feet tall? What is the height in meters of a person who is 6.25 feet tall?Explanation / Answer
Need: Density of metal (g/mL)
Plan: Calculate the volume difference.
Change to cm3, and place in density expression. 33.8 mL - 8.5 mL = 25.3 mL
25.3 mL x 1 cm3 = 25.3 cm3 (1 mL = 1 cm3 )
Mass of the metal = 52.12 g
Set up Problem: Density = Mass / Volume
Density = (52.12 g / 25.3 cm3 ) = 2.06 g/cm3
Height in meters of a person who is 6.25 feet tall = 6.25 x 0.3048 = 1.905 meters (1 foot = 0.3048 meters)
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