Answer:
58.31 square units
Explanation:
You want the surface area of a cone with height 7 and radius 2.
Area
The surface area of a cone is given by the formula ...
A = πr² +πrs . . . . . . . where r is the radius and s is the slant height
A = πr(r +s)
Slant height
The slant height is found using the Pythagorean theorem:
s² = r² +h²
s = √(2² +7²) = √53
So, the area is ...
A = π(2)(2 +√53) ≈ 58.31 . . . . square units
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