Question

1) calculate the mass of a body whose volume is 2m³and density 0.52g/cm³ 2) a pice of copper of mass 106g is dipped in measuring cylinder containing water at 22ml mark. the mark rises to 34ml mark. find a) volume of copper and b) density of copper3) an iron cylinder of radius 1.4cm and length 8cm is found to weigh 369.6g. calculate the density of iron

Answer 1

1)

As Mass = ρV where ρ is the density of a material while V be the volume of it.

Given:

ρ = 0.52g/cm³ = [(0.52 × 100 × 100 × 100)/1000] kg/m³ = 520 kg/m³

V = 2 m³

Mass = ρV=(520)(2)=1040kg

2)Mass of copper, M = 106g

Volume water in measuring cylinder V= 22ml

Volume water in measuring cylinder containing copper block, V' = 34ml

(a) Volume of copper piece = V' -V = 34-22 = 12 ml =12cm³

(b) Density of copper = M/(V-V') = 106/12 = 8.33g/cm³

(c) Relative density of copper = Density of copper/(Density of water) = 8.33/1 =8.33

3)volume of iron cylinder =Ï€r²h=Ï€(1.4)²(8)=49.26cm³

mass of iron cylinder=369.6g

density of iron=(mass of iron cylinder)/(volume of iron cylinder)=369.6/49.26=7.5g/cm³