Question

find the curved surface area of a cone of radius 7cm and height is 24cm ^​

Answer 1

Answer:

550 cm²

Step-by-step explanation:

Answer 2

Answer :

›»› The curved surface area of cone is 550 cm².

Given :

• Radius of a cone = 7 cm.
• Height of a cone = 24 cm.

To find :

• Curved surface area of cone = ?

How to solve?

Here in this question we have to find the curved surface area of cone. So, firstly we need to find the Slant height of cone, after that we will find the curved surface area of the cone on the basis of conditions given above.

To find the Slant height of the cone, we can use the formula for finding the Slant height of cone which says l = √{(r)² + (h)²}.

To find the curved surface area of cone, we can use the use the formula for finding the CSA of cone which says CSA = πrl.

Solution :

As we know that

→ l = √{(r)² + (h)²}

→ l = √{(7)² + (24)²}

→ l = √{49 + (24)²}

→ l = √{49 + 576}

→ l = √625

→ l = 25

Now,

As we know that

→ CSA of cone = πrl

→ CSA of cone = 22/7 * 7 * 25

→ CSA of cone = 22 * 1 * 25

→ CSA of cone = 22 * 25

→ CSA of cone = 550

Hence, the curved surface area of cone is 550 cm².