The total surface area of a cylinder can be determined using the formula:
Surface area = 2πr² + 2πrh
In this case, the diameter of the cylinder is 8 inches, so the radius (r) is half of that, or 4 inches. The height (h) is given as 12 inches.
Plugging these values into the formula, we get:
Surface area = 2π(4)² + 2π(4)(12)
Surface area = 2π(16) + 2π(48)
Surface area = 32π + 96π
Surface area = 128π
To find the closest measurement to the total surface area in square inches, we can use the approximation π ≈ 3.14. Thus,
Surface area ≈ 128(3.14)
Surface area ≈ 401.92 in²
Therefore, the measurement closest to the total surface area of the gift box in square inches is A) 402.12 in².
A gift box in the shape of a cylinder has a diameter of 8 inches and a height of 12 inches. Which measurement is closest to the total surface area of the gift box in square inches? A 402.12 ln.^ 2 4x B 301.59in .^ 2 C 1.005 * 0.31in .^ 2 D 603.19in .^ 2
1 answer