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The following cone has a height of 12 cm and a slant height of 16 cm. A right angle is formed between the height and radius of the cone
what is the length of the radius

Sagot :

bhargavnitesh291

Step-by-step explanation:

[tex]\pink{\large{\underline{\underline{\sf Given:-}}}}[/tex]

  • [tex] \sf Height_{\blue{cone}}=12 \: cm [/tex]
  • [tex] \sf Slant \: height_{\blue{cone}}=16\: cm [/tex]

[tex]\pink{\large{\underline{\underline{\sf To \: find:-}}}}[/tex]

  • [tex] \sf Radius_{\blue{cone}}=? [/tex]

[tex]\pink{\large{\underline{\underline{\sf Solution:-}}}}[/tex]

We know that,

[tex]\underline{\boxed{\sf (Radius)^2= (Slant height)^2-(height)^2}}[/tex]

[tex] \sf (Radius)^2 = (16)^2-(12)^2[/tex]

[tex] \sf (Radius)^2 = 256-144=112[/tex]

[tex] \longmapsto \sf Radius = \sqrt{112}≈10.6\:cm[/tex]

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