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 2,826 ft.2 2,826 ft. squared 127.56 ft.2 127.56 ft. squared 117.75 ft.2 117.75 ft. squared 274.75 ft.2
To find the surface area of the tree trunk, we first need to find the radius of the cylinder since we are given the diameter. The diameter is 30 inches, so the radius is half of that, which is 15 inches.
Next, we convert the length of the tree trunk from feet to inches to match the units of the radius. 15 feet is equal to 15 x 12 = 180 inches.
The formula to find the surface area of a cylinder is:
Surface Area = 2πr(r + h)
Plugging in the values we have:
Surface Area = 2 x 3.14 x 15(15 + 180) = 2 x 3.14 x 15 x 195 = 2 x 3.14 x 2925 = 18342.6 in²
Converting back to square feet:
18342.6 in² ÷ 144 (since 1 square foot is equal to 144 square inches) = 127.56 ft²
Therefore, the surface area of the tree trunk is 127.56 ft². So the correct answer is: 127.56 ft.2.