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)
A. 117.75 ft. squared
B. 2,826 ft. squared
C. 274.75 ft. squared
D. 127.56 ft. squared
First, we need to convert the diameter from inches to feet by dividing by 12:
30 inches / 12 = 2.5 feet
Now, we can calculate the radius by dividing the diameter by 2:
Radius = 2.5 feet / 2 = 1.25 feet
The surface area of a cylinder is given by the formula: 2πr(h + r), where r is the radius and h is the height.
Substitute in the values we have:
Surface Area = 2 * 3.14 * 1.25 (15 + 1.25)
Surface Area = 2 * 3.14 * 1.25 * 16.25
Surface Area = 127.625 ft^2
Therefore, the correct answer is:
D. 127.56 ft^2.