The question is incomplete, the complete question is;
Britney found an irregularly shaped metal object on the beach that
has a mass of 232.5 grams. To determine the volume, she partially
filled a cylindrical water bottle and dropped the object in. The
water level in the bottle rose by 1.2 cm. The bottle has a diameter
of 5 cm. Calculate the density of the metal to determine what type
of metal Britney found. Densities, measured in grams per cubic
centimeter, g
cm3
, for some common metals are listed.
• Copper: 8.86 g
cm3
• Bronze: 9.87 g
cm3
• Silver: 10.5 g
cm3
• Gold: 19.3 g
cm3
Select the word that correctly completes the sentence.
Based on the density of the metal, it is most likely that the metal Britney
found is _______________.
\ copper
\ bronze
\ silver
\ gold
Answer:
Bronze: 9.87 g
bronze
Step-by-step explanation:
We know that the volume of the liquid = the volume of the object
This is because the object will cause the liquid to occupy its own volume of the container.
Now; area of the container = πr^2 = 3.142 * (5/2)^2 = 19.635 cm^2
Volume of the liquid = volume of the sold = 19.635 cm^2 * 1.2 cm= 23.562cm^3
Now given that;
Density = mass/volume = 232.5 g/23.562cm^3 = 9.87 g/cm^3