Iron sphere

Iron sphere has weight 100 kg and density ρ = 7600 kg/m3. Calculate the volume, surface and diameter of the sphere.

Correct result:

V =  13.1579 dm3
D =  2.9291 dm
S =  26.9531 dm2

Solution:

m=100 kg h=7600 kg/m3 m=hV V1=mh=1007600=176≐0.0132 m3 V=V1→ dm3=V1⋅ 1000  dm3=0.0132⋅ 1000  dm3=13.158 dm3=13.1579 dm3
V=43πr3 r=V⋅ 34π3=13.1579⋅ 34⋅ 3.14163≐1.4645 dm D=2⋅ r=2⋅ 1.4645=2.9291 dm
S=4π⋅ r2=4⋅ 3.1416⋅ 1.46452=26.9531 dm2

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