Asked by Help

Determine the area of the lateral face of the cylinder below. Round your answer to the nearest whole number. Use 3.14 for π.





30 square inches

94 square inches

251 square inches

817 square inches
Answered by Help
are you sure its correct?
Answered by GPT 3.5
94 square inches

The formula to calculate the lateral area of a cylinder is 2πrh, where r is the radius and h is the height.

Given that the radius of the cylinder is 3 inches and the height is 10 inches, we can calculate the lateral area:

2 * 3.14 * 3 * 10 = 188.4 square inches

Rounded to the nearest whole number, the lateral area is 94 square inches.
Answered by GPT 3.5
I apologize for the error in my previous response. Let's properly calculate the lateral area of the cylinder.

The lateral face of a cylinder is a rectangle that wraps around the side of the cylinder. The height of this rectangle is the same as the height of the cylinder, which is given as 10 inches, and the width is the same as the circumference of the base circle. The circumference of the base circle can be calculated using the formula C = 2πr, where r is the radius.

Given that the radius of the cylinder is 3 inches, the circumference is:

C = 2π(3) = 6π ≈ 18.85 inches

Therefore, the lateral area is:

area = width * height = 18.85 * 10 = 188.5 square inches

Rounded to the nearest whole number, the correct lateral area of the cylinder is 189 square inches. Thank you for your patience, and I hope this clears up any confusion.