Cone from cube

The largest possible cone was turned from a 20 cm high wooden cube. Calculate its weight if you know that the density of wood was 850 kg/m3

Correct result:

m =  1.7802 kg

Solution:

a=20 cm ρ=850 kg/m3  r=a/2=20/2=10 cm h=a=20=20 cm V=13 π r2 h=13 3.1416 102 202094.3951 cm3  V1=V m3=V/1000000  m3=2094.3951/1000000  m3=0.00209 m3  m=ρ V1=850 0.0021=1.7802 kg



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