Respuesta :

The lateral surface area of the cone will be 65π square cm.

What is the lateral surface area of a cone?

Let d be the diameter of the base circle, l be the slant height, and h be the height of the cone.

Then the lateral surface area of the cone will be

LSA = πrl

Then the slant height is given as

l² = r² + h²

l² = 5² + 12²

l² = 25 + 144

l² = 169

 l = 13 cm

Then the lateral surface area will be

LSA = π × 5 × 13

LSA = 65π cm²

More about the lateral surface area of a cone link is given below.

https://brainly.com/question/27492847

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