Question

perpendicular height of a cone is 12cm and its slant height is 13 cm. Find the radius of the base of the cone

Answer 1

Perpendicular height of a cone is 12cm and its slant height is 13 cm. Find the radius of the base of the cone.

Answer 2

$\huge\bold{\mathtt{\purple{A{\pink{N{\green{S{\blue{W{\red{E{\orange{R}}}}}}}}}}}}}$$\huge \Rightarrow$

$\Large \bold \red{Solution}\Rightarrow$

Given $\Rightarrow$

Here,

height = 12 cm

length = 13 cm

r = ?

____________________

$l²=r²+h¹$ ...(Formula).

$\Rightarrow (13)²=r²+(12)²$ ...(taking square to both sides)

$\Rightarrow 169 =r² + 144$

$\Rightarrow 169-144=r²$

$\Rightarrow r²=25$

$\Rightarrow r=5$

$\Large\bold\orange{Ans}\Rightarrow$

The radius of the base of the cone is 5 cm.