Iron ball

The iron ball weighs 100 kilograms. Calculate the volume, radius, and surface if the iron's density is h = 7.6g/cm3.

Final Answer:

V =  13.1579 dm3
r =  1.4645 dm
S =  26.9531 dm2

Step-by-step explanation:

m=100 kg ρ=7.6 g/cm3→ kg/m3=7.6⋅ 1000  kg/m3=7600 kg/m3  m = ρ V  V1​=m/ρ=100/7600=761​≐0.0132 m3  V=V1​→ dm3=V1​⋅ 1000  dm3=0.0132⋅ 1000  dm3=13.158 dm3=13.1579 dm3
V = 34​ ⋅  π ⋅  r3  r=34πV⋅ 3​​=34⋅ 3.141613.1579⋅ 3​​=1.4645 dm
S=4π⋅ r2=4⋅ 3.1416⋅ 1.46452=26.9531 dm2

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solid geometryplanimetricsUnits of physical quantitiesGrade of the word problem

 
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