Question

A Cone has hase diamtes
ob 14cm and a slant height
of 25cm. Find its height​

Answer 1

Correct Question :

A cone has base diameter of 14 cm & a slant height of 25 cm. Find it's height .

Solution :

$\underline{\bf{Given\::}}}}$

• Base diameter of cone = 14 cm
• Radius of cone = Diameter/2 = 14/2 = 7 cm
• Slant height of cone (l) = 25 cm

$\underline{\bf{Explanation\::}}}}$

Using formula of the slant height of cone :

$\boxed{\bf{Slant\:height\:(l) = \sqrt{(r)^{2} + (h)^{2} }}}$

$\longrightarrow\sf{(25 )^{2}= (7)^{2} + (h)^{2} } \\\\\longrightarrow\sf{625=49 + (h)^{2}}\\\\\longrightarrow\sf{(h)^{2} = 625 - 49}\\\\\longrightarrow\sf{(h)^{2} = 576}\\\\\longrightarrow\sf{h=\sqrt{576} }\\\\\longrightarrow\bf{h=24\:cm}$

Thus;

The height of cone will be 24 cm .