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
127.56 ft.2
127.56 ft. squared
117.75 ft.2
117.75 ft. squared
274.75 ft.2
274.75 ft. squared
2,826 ft.2
To solve for the surface area of the cylinder, we first need to find the radius.
Radius = Diameter / 2
Radius = 30 inches / 2
Radius = 15 inches
We then convert the length from feet to inches:
15 feet = 15 x 12 = 180 inches
Now we can find the lateral surface area of the cylinder:
Lateral Surface Area = 2πrh
Lateral Surface Area = 2 x 3.14 x 15 x 180
Lateral Surface Area = 1,692 in²
Finally, we add the two bases so we can get the total surface area:
Surface Area = Lateral Surface Area + 2πr²
Surface Area = 1,692 + 2 x 3.14 x 15²
Surface Area = 1,692 + 1,413 in²
Surface Area = 3,105 in²
Therefore, the answer is not provided in the options. The correct answer is 3,105 in².