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.
Answers
GPT 3.5
First we need to convert the diameter from inches to feet:
30 inches = 30/12 = 2.5 feet
Now we can calculate the radius:
radius = diameter/2 = 2.5/2 = 1.25 feet
Next, we can calculate the surface area of the cylinder:
Surface area = 2πr^2 + 2πrh
Surface area = 2*3.14*(1.25)^2 + 2*3.14*(1.25)*15
Surface area = 2*3.14*1.5625 + 2*3.14*18.75
Surface area = 9.425 + 117.75
Surface area = 127.175 feet^2
Therefore, the surface area of the cylinder is 127.175 square feet.
30 inches = 30/12 = 2.5 feet
Now we can calculate the radius:
radius = diameter/2 = 2.5/2 = 1.25 feet
Next, we can calculate the surface area of the cylinder:
Surface area = 2πr^2 + 2πrh
Surface area = 2*3.14*(1.25)^2 + 2*3.14*(1.25)*15
Surface area = 2*3.14*1.5625 + 2*3.14*18.75
Surface area = 9.425 + 117.75
Surface area = 127.175 feet^2
Therefore, the surface area of the cylinder is 127.175 square feet.