Allison is planning to cover the lateral surface of a large cylindrical garbage can with decorative fabric for a theme party. The can has a diameter of 3 feet and a height of 3.5 feet. How much fabric does she need? Round to the nearest square foot.

Question

(1 point)
Responses

123 ft2
123 ft 2

61 ft2
61 ft 2

33 ft2
33 ft 2

66 ft2
66 ft 2

Answer 1

Allison needs to cover the lateral surface of the cylinder, which is equal to the height times the circumference of the base.

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

Lateral surface area = height * circumference
Lateral surface area = 3.5 feet * 9.42 feet
Lateral surface area ≈ 33.0 square feet

Therefore, Allison needs 33 square feet of fabric to cover the lateral surface of the garbage can.

Answer: 33 ft2