Concrete hatch

The concrete hatch for a round well has a diameter of 1300 mm and a thickness of 80 mm. Determine its weight in kg if the density of the concrete is 2545 kg/m3

Correct result:

m =  270.243 kg

Solution:

D=1300 mm→m=1300/1000 m=1.3 m h=80 mm→m=80/1000 m=0.08 m ρ=2545 kg/m3  r=D/2=1.3/2=1320=0.65 m S=π⋅ r2=3.1416⋅ 0.652≐1.3273 m2 V=S⋅ h=1.3273⋅ 0.08≐0.1062 m3  m=ρ⋅ V=2545⋅ 0.1062=270.243 kgD=1300 \ mm \rightarrow m=1300 / 1000 \ m=1.3 \ m \ \\ h=80 \ mm \rightarrow m=80 / 1000 \ m=0.08 \ m \ \\ ρ=2545 \ \text{kg/m}^3 \ \\ \ \\ r=D/2=1.3/2=\dfrac{ 13 }{ 20 }=0.65 \ \text{m} \ \\ S=\pi \cdot \ r^2=3.1416 \cdot \ 0.65^2 \doteq 1.3273 \ \text{m}^2 \ \\ V=S \cdot \ h=1.3273 \cdot \ 0.08 \doteq 0.1062 \ \text{m}^3 \ \\ \ \\ m=ρ \cdot \ V=2545 \cdot \ 0.1062=270.243 \ \text{kg}

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