Rounded to the nearest square units, the surface area of the cone, is: 524 square units.
The surface area of a cone = πr(r + l), where:
r is the radius of the cone
l is the length of the cone.
Given the following:
Radius of the cone (r) = 12/2 = 6 units
Slant height of the cone (l) = √(21² + 6²) [Pythagorean theorem]
Slant height of the cone (l) = 21.8 units.
Plug in the values into πr(r + l):
Surface area of the cone = π × 6(6 + 21.8)
Surface area of the cone = 3.14 × 6(27.8)
Surface area of the cone ≈ 525 square units
The surface area of the cone, approximated to the nearest square units, we have: 524 square units.
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