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Answer:
SA = 360π in²
Step-by-step explanation:
The slant height l is the hypotenuse of the right triangle inside the cone.
Using Pythagoras' identity to find l
l² = 24² + 10² = 576 + 100 = 676 ( take the square root of both sides )
l = = 26
Then
SA = πrl + πr²
= (π × 10 × 26) + (π × 10²)
= 260π + 100π
= 360π in²