What is the surface area of the ice cream

Mathematics

1 answer:

galina1969 [7]3 years ago

3 0

Answer:

$13194.7\ mm^2$

Step-by-step explanation:

The total surface area of a cone is given by:

Surface area = $\pi r(r+\sqrt{h^2+r^2} )$

where r is the radius of the cone, h is the height of the cone, l is the length of the cone = $\sqrt{h^2+r^2}$

Given that h = 136 mm, r = 60 mm /2 = 30 mm, l = 140 mm. Also the top of the cone is not included in the surface area, hence the surface area becomes:

$Surface \ area=\pi r(\sqrt{h^2+r^2} )=\pi rl\\\\Surface \ area=\pi (30\ mm)(140\ mm)=13194.7\ mm^2$

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For this case we must simplify the following expression:

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Kindly check attached picture