Question

The height of a cone of diameter 6 cm and slant height 5cm is:
(A)cm (B) 12 cm(C) 10 cm (D)5cm​

Answer 1

Answer:

Diameter of cone =10cm

Radius of cone, r=OB=

2

10

cm =5 cm

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