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A cone with a diameter of 8 inches and a height of 7 inches.
Find the surface area of the cone. Use 3.14 for π.
First, we need to find the slant height of the cone using the Pythagorean theorem:
s² = r² + h²
Since the diameter is 8 inches, the radius is 4 inches:
s² = 4² + 7²
s² = 16 + 49
s² = 65
s ≈ 8.06
Now we can find the surface area using the formula:
surface area = πr² + πrs
where r is the radius and s is the slant height:
surface area = 3.14(4²) + 3.14(4)(8.06)
surface area = 50.24 + 101.62
surface area ≈ 151.86 in²
Therefore, the surface area of the cone is approximately 151.86 square inches.