Since the diameter is 30 inches, the radius would be half of that, which is 15 inches. We need to convert the length to inches as well, which would be 15 feet * 12 = 180 inches.
The formula for the surface area of a cylinder is 2πr^2 + 2πrh.
Plugging in the values:
Surface area = 2 * 3.14 * (15)^2 + 2 * 3.14 * 15 * 180
Surface area = 2 * 3.14 * 225 + 2 * 3.14 * 15 * 180
Surface area = 1413 + 16956
Surface area = 18369 square inches
To convert this to square feet, divide by 144 (since 1 square foot = 144 square inches):
Surface area = 18369 / 144
Surface area ≈ 127.56 ft^2
Therefore, the correct answer is:
127.56 ft.2
127.56 ft. squared
Surface Area of Cylinders Quick Check
1 of 51 of 5 Items
Question
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
274.75 ft.2
274.75 ft. squared
127.56 ft.2
127.56 ft. squared
2,826 ft.2
1 answer
1 answer