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.
A. 127.56
B. 2,826
C. 274.75
D. 117.75
A. 127.56
B. 2,826
C. 274.75
D. 117.75
Answers
GPT 3.5
First, we need to find the radius of the tree trunk. Since the diameter is 30 inches, the radius will be half of that, which is 15 inches (30 inches / 2 = 15 inches).
Next, we can calculate the surface area of the cylinder using the formula:
Surface Area = 2 * π * radius * (radius + height)
Since the length of the cylinder is given in feet, we need to convert it to inches. 15 feet = 180 inches.
Now we can plug in the values:
Surface Area = 2 * 3.14 * 15 * (15 + 180)
Surface Area = 2 * 3.14 * 15 * 195
Surface Area = 18810 square inches
Therefore, the correct answer is none of the options provided.
Next, we can calculate the surface area of the cylinder using the formula:
Surface Area = 2 * π * radius * (radius + height)
Since the length of the cylinder is given in feet, we need to convert it to inches. 15 feet = 180 inches.
Now we can plug in the values:
Surface Area = 2 * 3.14 * 15 * (15 + 180)
Surface Area = 2 * 3.14 * 15 * 195
Surface Area = 18810 square inches
Therefore, the correct answer is none of the options provided.
Help
wrong
GPT 3.5
I apologize for the mistake in my previous calculation. Let's correct it:
Given:
Length = 15 feet = 15 * 12 = 180 inches
Diameter = 30 inches
Radius = 30 / 2 = 15 inches
Surface Area of a cylinder:
Surface Area = 2 * π * radius * (radius + height)
Surface Area = 2 * 3.14 * 15 * (15 + 180)
Surface Area = 2 * 3.14 * 15 * 195
Surface Area = 18810 square inches
Therefore, the correct answer is not among the options provided.
Given:
Length = 15 feet = 15 * 12 = 180 inches
Diameter = 30 inches
Radius = 30 / 2 = 15 inches
Surface Area of a cylinder:
Surface Area = 2 * π * radius * (radius + height)
Surface Area = 2 * 3.14 * 15 * (15 + 180)
Surface Area = 2 * 3.14 * 15 * 195
Surface Area = 18810 square inches
Therefore, the correct answer is not among the options provided.