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)Responses274.75 ft.2274.75 ft. squared117.75 ft.2117.75 ft. squared127.56 ft.2127.56 ft. squared2,826 ft.2

Answer 1

The height of the cylinder can be calculated as half of the diameter, which is 30 inches / 2 = 15 inches = 15/12 feet = 1.25 feet.

The surface area of a cylinder is given by the formula: 2πr^2 + 2πrh, where r is the radius and h is the height.

First, we need to convert the diameter to radius by dividing by 2: 30 inches / 2 = 15 inches = 15/12 feet = 1.25 feet.

Now, calculate the surface area:

Surface area = 2 * 3.14 * (1.25)^2 + 2 * 3.14 * 1.25 * 15
Surface area = 2 * 3.14 * 1.5625 + 2 * 3.14 * 18.75
Surface area = 3.14 * 3.125 + 3.14 * 37.5
Surface area = 9.8175 + 117.75
Surface area = 127.5675 square feet

Therefore, the surface area of the tree trunk is approximately 127.56 ft^2.

The closest option is: 127.56 ft. squared