Question

Find the height of cone, if its slant height is 34 cm and base diameter is 32 cm.​

Answer 1

$\frak{ \large{ \gray{Given}}}$

• Slant Height = 34cm
• Base diameter = 32cm
• Therefore Radius r = 32/2 cm=16cm

$\large{ \underline{ \underline{ \frak{To \: find}}}}$

• Height of the core

$\underbrace{ \large{ \blue{ \frak{❣Solution}}}}$

We know that, slant height of a cone

$\purple{ \mathcal{l = \sqrt{ {r}^{2} + {h}^{2} } }}$

$\sf{ = > (34) {}^{2} =( 16) {}^{2} + {h}^{2} }$

$\sf{ = > {h}^{2} = (34) {}^{2} - (16) {}^{2} }$

$\sf{ = > h = \sqrt{(34) {}^{2} - (16) {}^{2} }}$

$\sf{ \orange{ \therefore{h = 30cm}}}$

ʜᴇɴᴄᴇ ᴛʜᴇ ʜᴇɪɢʜᴛ ᴏғ ᴛʜᴇ ᴄᴏɴᴇ ɪs 30 ᴄᴍ