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  • 28-05-2020
  • Mathematics
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Find the total surface area of the solid shown, correct to the nearest cm2

Find the total surface area of the solid shown correct to the nearest cm2 class=

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Аноним Аноним
  • 28-05-2020

Answer:

[tex]550.44m^2[/tex]

Step-by-step explanation:

You need both formulas to solve for area on a cone

[tex]A=\pi rl+\pi r^2\\l=\sqrt{r^2+h^2}[/tex]

[tex]A=\pi r(r+\sqrt{h^2+r^2})\\ =\pi *6.4*(6.4+\sqrt{17^2+6.4^2})\\ 493.90cm^2[/tex](cone)

[tex]A=2\pi r^2\\=2\pi 3^2\\=56.54m^2[/tex](hemisphre)

[tex]493.90+56.54=550.44m^2[/tex]

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