The conical roof

The conical roof above the warehouse has a diameter of the lower part (base) d = 11.2 m and a height v = 3.3 m. How many rectangular steel plates with dimensions of 1.4 m and 0.9 m were needed for the production of this roof, if the seams and waste required an increase in their consumption by 10 percent?

Correct answer:

n =  100

Step-by-step explanation:

d=11.2 m v=3.3 m  a=1.4 m b=0.9 m q=10%=1+10100=1.1  r=d/2=11.2/2=285=535=5.6 m s=v2+r2=3.32+5.62=132=612=6.5 m  S1=π r s=3.1416 5.6 6.5114.354 m2 S2=S1 q=114.354 1.1125.7894 m2  S3=a b=1.4 0.9=6350=11350=1.26 m2  n=S2/S3=125.7894/1.26=100

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