Question

if a circular cone of verticle height 24 cm has a volume of 1232cm cube then the area of its curved surface in cm sqare is
​

Answer 1

Answer:

Correct option is C)

Given h=24cm V=1232 cm

3

.

Volume of cone, V=

3

1

πr

2

h

∴1232=

3

1

×

7

22

×r

2

×24

⟹ r

2

=

22×24

1232×3×7

=49

⟹ $$r=7cm$$.

Then, slant height

l=

h

2

+r

2

=

24

2

+7

2

=

576+49

=25cm.

Therefore, curved surface area =πrl

=

7

22

×7×25 =550cm

2

.