Cone container

Rotary cone-shaped container has a volume 1000 cubic cm and a height 12 cm. Calculate how much metal we need for making this package.

Correct result:

S =  669.0434 cm2

Solution:

V=1000 cm3 h=12 cm  V=13πr2 h r=3⋅ V/h/π=3⋅ 1000/12/3.1416≐8.9206 cm  s=r2+h2=8.92062+122≐14.9525 cm  S1=π⋅ r2=3.1416⋅ 8.92062=250 cm2 S2=π⋅ r⋅ s=3.1416⋅ 8.9206⋅ 14.9525≐419.0434 cm2 S=S1+S2=250+419.0434=669.0434 cm2

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