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
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