Question

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

Answer 1

Explanation:

`\pink{\large{\underline{\underline{\sf Given:-}}}}`

• 
  `\sf Height_{\blue{cone}}=12 \: cm`
• 
  `\sf Slant \: height_{\blue{cone}}=16\: cm`

`\pink{\large{\underline{\underline{\sf To \: find:-}}}}`

• 
  `\sf Radius_{\blue{cone}}=?`

`\pink{\large{\underline{\underline{\sf Solution:-}}}}`

We know that,

`\underline{\boxed{\sf (Radius)^2= (Slant height)^2-(height)^2}}`

`\sf (Radius)^2 = (16)^2-(12)^2`

`\sf (Radius)^2 = 256-144=112`

`\longmapsto \sf Radius = √(112)≈10.6\:cm`