Question
Amir is trying to cover the lateral surface area of a cylinder with wrapping paper. The can has a diameter of 3 feet and a height of 4 feet. How much paper does he need? round to the nearest square foot.(1 point) Responses 75 ft275 ft275 ft275 ft2 52 ft252 ft252 ft252 ft2 38 ft238 ft238 ft238 ft2 33 ft2
Answers
GPT 3.5
To calculate the lateral surface area of a cylinder, you use the formula:
Lateral Surface Area = 2πrh
Given that the diameter is 3 feet, the radius would be half of that, so the radius is 1.5 feet. The height is given as 4 feet.
Lateral Surface Area = 2 * π * 1.5 * 4
Lateral Surface Area = 2 * 3.14 * 1.5 * 4
Lateral Surface Area = 2 * 3.14 * 6
Lateral Surface Area = 37.68 square feet
Rounding to the nearest square foot, Amir would need approximately 38 square feet of wrapping paper.
Therefore, the answer is 38 ft^2.
Lateral Surface Area = 2πrh
Given that the diameter is 3 feet, the radius would be half of that, so the radius is 1.5 feet. The height is given as 4 feet.
Lateral Surface Area = 2 * π * 1.5 * 4
Lateral Surface Area = 2 * 3.14 * 1.5 * 4
Lateral Surface Area = 2 * 3.14 * 6
Lateral Surface Area = 37.68 square feet
Rounding to the nearest square foot, Amir would need approximately 38 square feet of wrapping paper.
Therefore, the answer is 38 ft^2.