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  • 22-03-2021
  • Mathematics
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Item 9 Find the surface area of the cone with diameter d and slant height l. Round to the nearest tenth. d=12 cm l=85mm

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nuuk nuuk
  • 23-03-2021

Answer: [tex]160.28\ cm^2[/tex]

Step-by-step explanation:

Given

diameter of cone [tex]d=12\ cm[/tex]

radius is [tex]r=\frac{d}{2}=6\ cm[/tex]

The slant height of the cone [tex]l=85\ mm\approx 8.5\ cm[/tex]

The surface area of a cone is

[tex]\Rightarrow A=\pi rl[/tex]

Substitute the value

[tex]\Rightarrow A=\frac{22}{7}\times 6\times 8.5=160.28\ cm^2[/tex]

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