Question

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

Answer 1

We know,

$l^{2}$ = ${h^{2}+r^{2} }$

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

$r^{2} = 169-144 = 25$

r = $\sqrt{25}$

r=5cm

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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,

$\sf{ {l}^{2} = {r}^{2}+ {h}^{2}}$

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.