Respuesta :

Answer:

  • Lateral surface area of the cone is 1005 cm²

Step-by-step 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

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