Question
Find the surface area of the cone to the nearest whole unit.
A cone with a diameter of 8 inches and a height of 7 inches.
(1 point)
Responses
226 in2
226 in 2
88 in2
88 in 2
377 in2
377 in 2
138 in2
The surface area of a cone is calculated using the formula: πr(r + √(r^2 + h^2)), where r is the radius of the base and h is the height.
Given that the diameter is 8 inches, the radius (r) is half of the diameter, so r = 8/2 = 4 inches.
Using the formula: S.A. = π(4)(4 + √(4^2 + 7^2)), S.A. = π(4)(4 + √(16 + 49)), S.A. = π(4)(4 + √65), S.A. = 4π(4 + √65), S.A. = 4π(4 + 8.06), S.A. = 4π(12.06), S.A. ≈ 48π in2 = 150.8 in2.
So, the surface area of the cone is approximately 151 in2. Therefore, the closest whole unit is 151 in2. The answer is not provided in the list of responses.