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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:
r = d/2 = 8/2 = 4 inches (radius)
l = √(r^2 + h^2) = √(4^2 + 7^2) = √65 ≈ 8.06 inches (slant height)
Now we can find the surface area of the cone:
SA = πr^2 + πrl
SA = 3.14(4^2) + 3.14(4)(8.06)
SA = 50.24 + 101.92
SA = 152.16 square inches
Therefore, the surface area of the cone is 152.16 square inches.