Question

if slant height and height of a cone are 13cm and 12 cm respectively.find the radius?​

Answer 1

Answer:

Step-by-step explanation:

Answer will be 100πcm²

By using the respective formula

Answer 2

$\huge\underline\mathfrak\red{Given}$

• The slant height and height of a cone are 13cm and 12 cm.

$\huge\underline\mathfrak\red{To \: find}$

• The radius of the cone.

$\huge\underline\mathfrak\red{Solution}$

We know that,

$\sf{ {l}^{2} = </u></strong><strong><u>{</u></strong><strong><u>r</u></strong><strong><u>}</u></strong><strong><u>^</u></strong><strong><u>{</u></strong><strong><u>2</u></strong><strong><u>}</u></strong><strong><u>+ </u></strong><strong><u>{</u></strong><strong><u>h</u></strong><strong><u>}</u></strong><strong><u>^</u></strong><strong><u>{</u></strong><strong><u>2</u></strong><strong><u>}</u></strong><strong><u>}$

Now, putting the values, we get,

$\sf{ {13}^{2} = {r}^{2} + {12}^{2} }$

$\sf{\implies {r}^{2} = {13}^{2} - {12}^{2} }$

$\sf{\implies r = \sqrt{169 - 144} }$

$\sf{\implies r = \sqrt{25} }$

$\sf{\implies r = 5}$

Hence,the radius of the cone =5 cm