nnaguilar129 nnaguilar129
  • 22-04-2021
  • Mathematics
contestada

The height of a paper cone-shaped cup is 33 cm and the diameter of the paper cone-shaped cup is 20 cm, how much paper was used?

Respuesta :

Muscardinus Muscardinus
  • 23-04-2021

Answer:

[tex]A=1397.38\ cm^2[/tex]

Step-by-step explanation:

Given that,

The height of the paper cone shaped, h = 33 cm

The diameter of the cone, d = 20 cm

Radius = (20/2) = 10 cm

oWe need to find how much paper was used. It means we need to find the total surface area of the cone.

[tex]A=\pi rl+\pi r^2[/tex]

Where

l is the slant height,

[tex]l=\sqrt{r^2+h^2} \\\\=\sqrt{10^2+33^2} \\\\=34.48\ cm[/tex]

So,

[tex]A=\pi \times 10\times 34.48+\pi (10)^2\\\\=1397.38\ cm^2[/tex]

So, [tex]1397.38\ cm^2[/tex] of the paper was used.

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