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 33 ft2 33 ft2 38 ft2 38 ft2 75 ft2 75 ft2 52 ft2

1 answer

To find the lateral surface area of a cylinder, you use the formula:

Lateral Surface Area = height * circumference

First, calculate the circumference of the cylinder:

Circumference = π * diameter
Circumference = π * 3 feet
Circumference ≈ 9.42 feet

Now, calculate the lateral surface area:

Lateral Surface Area = 4 feet * 9.42 feet
Lateral Surface Area ≈ 37.68 square feet

Rounded to the nearest square foot, Amir will need 38 square feet of wrapping paper.

So, the answer is: 38 ft2.