Question
A solid cylinder has an area of 10cm2 and a height of 1.0 m. The cylinder is composed of two different materials with mass densities of 2000 kg/m3 and 1500 kg/m3. If each of the two materials occupies an equal volume, what is the mass of the cylinder?
Question 3 options:
A) 3.5kg
B) 2.5kg
C) 25kg
D) 1.75kg
Question 3 options:
A) 3.5kg
B) 2.5kg
C) 25kg
D) 1.75kg
Answers
1m = 100cm.
V = 10cm^2 * 100cm = 1000cm^3.
1000cm^3 = 1*10^-3 m^3.
1*10^-3m^3/2 = 0.5*10^-3m^3 = 5*10^-4.
Mass = (2000kg/m^3)*5*10^-4m^3 +
(1500kg/m^3)*5*10^-4 = 3500*5*10^-4 =
1.75kg.
V = 10cm^2 * 100cm = 1000cm^3.
1000cm^3 = 1*10^-3 m^3.
1*10^-3m^3/2 = 0.5*10^-3m^3 = 5*10^-4.
Mass = (2000kg/m^3)*5*10^-4m^3 +
(1500kg/m^3)*5*10^-4 = 3500*5*10^-4 =
1.75kg.
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