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

Step-by-step 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,

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

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

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

$\longmapsto \sf Radius = \sqrt{112}≈10.6\:cm$