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 PI.

A. 2,826 ft. squared
B. 127.56 ft. squared
C. 274.75 ft. squared
D. 117.75 ft. squared

1 answer

First, we need to convert the diameter from inches to feet. Since there are 12 inches in a foot, the diameter is 30 inches/12 = 2.5 feet.

Next, we need to find the radius, which is half the diameter. So, the radius is 2.5 feet / 2 = 1.25 feet.

The formula for the surface area of a cylinder is 2πr(r + h), where r is the radius and h is the height.

Plugging in the values we have:
Surface area = 2 * 3.14 * 1.25 * (1.25 + 15)
Surface area = 6.28 * 1.25 * 16.25
Surface area = 127.6 ft^2

Therefore, the correct answer is B. 127.56 ft. squared.