Masquerade ball

Marie wants to make a cone-shaped witch's hat for a masquerade ball. How much material will it need if it counts on an annular rim with diameters of 28cm and 44cm? The hat side length is 30cm. Add 5% of the material to the bust. Round to cm2.

Correct answer:

S =  2335 cm2

Step-by-step explanation:

D1=28 cm D2=44 cm  s=30 cm q=1+1005=1001 100+1005=100100+1005=100100+5=100105=2021=1.05  r1=D1/2=28/2=14 cm r2=D2/2=44/2=22 cm  S1=π r22π r12=3.1416 2223.1416 142904.7787 cm2  S2=π r1 s=3.1416 14 301319.4689 cm2  S=q (S1+S2)=2021 (S1+S2)=1.05 (904.7787+1319.4689)=2335 cm2



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