Question
Sonia cut a tree trunk in the shape of a cylinder. The length is 15 feet and the diameter is 30 inches solve the surface area using 3.14 for pi.
127.56
2,826
274.75
117.75
127.56
2,826
274.75
117.75
Answers
GPT 3.5
The first step is to calculate the radius of the cylinder, which is half of the diameter.
Radius = 30 inches / 2 = 15 inches
Next, we convert the length from feet to inches:
15 feet x 12 inches/foot = 180 inches
Now we can calculate the surface area of the cylinder using the formula:
Surface Area = 2πr^2 + 2πrh
Surface Area = 2 * 3.14 * (15 inches)^2 + 2 * 3.14 * 15 inches * 180 inches
Surface Area = 2 * 3.14 * 225 square inches + 2 * 3.14 * 2700 square inches
Surface Area = 1413 + 16956
Surface Area = 18369 square inches
Therefore, the surface area of the tree trunk is 18369 square inches, which is closest to 2,826.
Radius = 30 inches / 2 = 15 inches
Next, we convert the length from feet to inches:
15 feet x 12 inches/foot = 180 inches
Now we can calculate the surface area of the cylinder using the formula:
Surface Area = 2πr^2 + 2πrh
Surface Area = 2 * 3.14 * (15 inches)^2 + 2 * 3.14 * 15 inches * 180 inches
Surface Area = 2 * 3.14 * 225 square inches + 2 * 3.14 * 2700 square inches
Surface Area = 1413 + 16956
Surface Area = 18369 square inches
Therefore, the surface area of the tree trunk is 18369 square inches, which is closest to 2,826.