Question

The diameter of base and height of a cone is 14 cm and 24 cm, respectively. Find the curved surface area of the cone.

Answer 1

Answer:

550 cm²

Step-by-step explanation:

Find the radius:

Radius = Diameter ÷ 2

Radius = 14 ÷ 2 = 7 cm

Find the slanted height:

a² + b² = c²

c² = 7² + 24²

c² = 625

c = √625

c = 25 cm

Find the curved surface area:

Curved Surface Area = πrl

Curved Surface Area = π(7)(25) = 550 cm²

Answer: 550 cm²

Answer 2

$\underline{\underline{\Huge\mathfrak{Answer ;}}}$

Your Answer is ; 550 cm^2

=≈≈≈===≈≈≈≈≈===≈≈≈≈≈=≈≈=
Step by Step Explanation ;-
=≈≈≈===≈≈≈≈≈===≈≈≈≈≈=≈≈=

We know that ;

• Radius = Diameter / 2

So , Radius = 14 / 2 = 7 cm.

Now , the slanted height ;-

=> a^2 + b^2 = c^2

=> c^2 = 7^2 + 24^2

=> c^2 = 625

=> c = √625 => 25

Now , the curved surface area ;-

• We know that ;-

Curved Surface Area = pi rl

So ,

Curved Surface Area = pi (7)(25) = 550 cm^2

Hence , 550 cm^2 is the right answer.

________________________

- Regards
@dmohit432