Solution.
d=70cm=0.7m;h=7m;n=12(columns).
6) The volume of concrete for one column is:
Vc=π∗r2∗h, where r=d/2=0.7/2=0.35(m);
Vc=3.14∗0.1225∗7=2.69(m3).
The volume of concrete for 12 columns is:
V=n∗Vc;V=12∗2.69=32.28(m3).
Answer: V=32.28m3.
7) Lateral surface area of one column is:
Sc(lateral)=2π∗r∗h;Sc(lateral)=2∗3.14∗0.35∗7=15.386(m2).
Lateral surface area of 12 columns is:
S(lateral)=n∗Sc(lateral);S(lateral)=12∗15.386=184.632(m2).
Answer: S(lateral)=184.632m2.
8) Let the width w of aluminum cladding is 1.2 m and the length l is 2.4 m.
Area of one cladding is:
Scl=w∗l;Scl=1.2∗2.4=2.88(m2).
Total surface area of one column is:
Sc(total)=Sc(lateral)+2π∗r2.
Total surface area of 12 columns is:
S(total)=S(lateral)+12∗2π∗r2;S(total)=184.632+12∗2∗3.14∗0.1225==184.632+9.2316=193.86(m2).
Number of sheets of aluminum to cover 12 columns is:
Num=S(total)/Scl;Num=193.86/2.88=67.31(sheets).
Answer: 67.31(sheets).
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