Question

Th height of a cone of diameter 10cm and slant height13cm, is
​

Answer 1

Diameter of cone

=

10

c

m

Radius of cone,

r=O

B=10/2 cm =5cm

Slant height of cone,

l=AB

=13 cm

Suppose height of the cone is

h=OA

In right angle triangle,

△OAB

OA 2 =AB 2−OB 2

⇒h 2 = l 2 −r 2

⇒h= 13 2−5 2

=

169−25

=

144

⇒h=12 cm