Sonia cut a tree trunk in the shape of a cylinder. The length is 15 feet, and the diameter is 30 inches. Solve for the surface area, using 3.14 for π.(1 point) Responses 117.75 ft.2 117.75 ft. squared 127.56 ft.2 127.56 ft. squared 274.75 ft.2 274.75 ft. squared 2,826 ft.2
The formula for the surface area of a cylinder is given by:
Surface Area = 2πr(h + r)
Given that the diameter is 30 inches, the radius would be half of that, so the radius (r) would be 15 inches. We need to convert the measurements to the same units, so convert the diameter and radius to feet:
30 inches = 30/12 = 2.5 feet
15 inches = 15/12 = 1.25 feet
The height (h) of the cylinder is given as 15 feet.
Now, plug the values into the formula:
Surface Area = 2 * 3.14 * 1.25 * (15 + 1.25)
Surface Area = 2 * 3.14 * 1.25 * 16.25
Surface Area = 2 * 3.14 * 20.3125
Surface Area = 127.58 ft.2
Therefore, the surface area of the tree trunk cylinder is approximately 127.56 ft.2. So, the correct answer is 127.56 ft. squared.