Canopy

Mr Peter has metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs paint the roof with anticorrosion. How many kg of color must he buy if the manufacturer specifies the consumption of 1 kg to 3.3 m2?

Result

m2 =  2.25 kg

Solution:

v=127 cm→m=127/100 m=1.27 m r=130 cm→m=130/100 m=1.3 m h=3.3 kg/m2  s2=v2+r2 s=v2+r2=1.272+1.32≐1.8174 m  S=π⋅ r⋅ s=3.1416⋅ 1.3⋅ 1.8174≐7.4223 m2  m2=S/h=7.4223/3.3≐2.2492≐2.25 kgv=127 \ cm \rightarrow m=127 / 100 \ m=1.27 \ m \ \\ r=130 \ cm \rightarrow m=130 / 100 \ m=1.3 \ m \ \\ h=3.3 \ \text{kg/m}^2 \ \\ \ \\ s^2=v^2 + r^2 \ \\ s=\sqrt{ v^2+ r^2 }=\sqrt{ 1.27^2+ 1.3^2 } \doteq 1.8174 \ \text{m} \ \\ \ \\ S=\pi \cdot \ r \cdot \ s=3.1416 \cdot \ 1.3 \cdot \ 1.8174 \doteq 7.4223 \ \text{m}^2 \ \\ \ \\ m_{2}=S / h=7.4223 / 3.3 \doteq 2.2492 \doteq 2.25 \ \text{kg}

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