Question

Find the lateral area of the cone

Answer 1

• Lateral surface area of the cone is 1005 cm²

Explanation:

Given :-

• Radius of cone = 16 cm
• Height of cone = 12 cm

To Find :-

• Lateral surface area

Solution :-

As we know that,

• LSA of the cone = πrl

Finding Slant height:

➝ L = √r² + h²

➝ L = √(16)² + (12)²

➝ L = √256 + 144

➝ L = √400

➝ L = 20 cm

• Slant height of cone is 20cm

Now,

• LSA of the cone = πrl

Substituting the required values,

➝ LSA = 22/7 × 16 × 20

➝ LSA= 7040/7

➝ LSA ≈ 1005 cm²

Hence,

• Lateral surface area the of cone is 1005 cm²