Question

The volume of a right circular coneis 13] 9856 cm3.If the diameter of the base is 28 13 cm,find 1) height of the cone i) slant height if cone ii) curved surface area of the cone. ​

Answer 1

Answer:

Given:

r=

2

28

=14cm

(i)Let height =h

⇒Volume =9856=

3

1

πr

2

h

9856=

3

1

×

7

22

×14×14×h

⇒h=48cm

(ii)⇒Slant height =

r

2

+h

2

=

14

2

+48

2

=

196+2340

=50cm

(iii)⇒Curved Surface Area =πrl=

7

22

×14×50cm

2

=22004cm

2