A circular cone has a diameter of 8 in. and a slant height of 10 in. What is the surface area of the cone to the nearest inch?(1 point)
Responses
452 in.2
452 in. squared
302 in.2
302 in. squared
176 in.2
176 in. squared
63 in.2
The surface area of a cone is given by the formula A = πr(r + s), where r is the radius of the base and s is the slant height.
In this case, the diameter of the cone is 8 inches, so the radius is half of that, or 4 inches. The slant height is given as 10 inches.
Plugging these values into the formula, we get:
A = π(4)(4 + 10) = 14π
To find the approximate value, we can use 3.14 as an estimate for π:
A ≈ 14(3.14) = 43.96
Rounding to the nearest inch, the surface area of the cone is approximately 44 square inches.
Therefore, the correct answer is: 44 in.2