Answer:
The density of the metal is 21.675 g/mL.
The volume of metal with mass of 64.9 grams is 2.994 mL.
Step-by-step explanation:
Density is defined as mass present in unit volume of the substance.
![Density=(Mass)/(Volume)](https://img.qammunity.org/2020/formulas/chemistry/middle-school/hzknnknzlihjnnp7o4jwkew5bpcuhffxxx.png)
Mass of unknown metal = m = 427.0 g
Volume of the unknown metal = v = 19.7 mL
Density of the unknown metal = d
![d=(m)/(v)=(427.0 g)/(19.7 mL)=21.675 g/mL](https://img.qammunity.org/2020/formulas/chemistry/college/wuqrei60dpk964rbl03yq18ultznxnx12s.png)
Mass of the same unknown metal = M = 64.9 g
Volume of same unknown metal with mass M = V
Density of the metal = d = 21.675 g/mL
![21.675 g/ mL=(64.9 g)/(V)](https://img.qammunity.org/2020/formulas/chemistry/college/hgaqz42bmnu895fxjbitakpl2pyi1db11l.png)
V = 2.994 mL