Sonia cut a tree trunk in the shape of a cylinder. The length is 15 feet, and the diameter is 30 inches. Solve for the surface area, using 3.14 for π .(1 point)

Question

Responses

127.56 ft.2
127.56 ft. squared

117.75 ft.2
117.75 ft. squared

2,826 ft.2
2,826 ft. squared

274.75 ft.2

Answer 1

117.75 ft.2
117.75 ft. squared

Surface area of a cylinder = 2πr(r + h)
r = diameter/2 = 30 inches / 2 = 15 inches = 1.25 feet
h = length = 15 feet

Surface area = 2*3.14*1.25*(1.25+15) = 117.75 ft.2

Answer 2

Arya has 5 separate buckets with lids, each the same size and in the shape of a cylinder. If the total surface area of all 5 buckets is 3,956.4 square inches and the diameter of each bucket is 12 inches, what is the height of 1 bucket? Use 3.14 for π .(1 point)
Responses

40.5 inches
40.5 inches

15 inches
15 inches

21 inches
21 inches

99 inches

Answer 3

15 inches

Given:
- Total surface area of all 5 buckets = 3,956.4 square inches
- Diameter of each bucket = 12 inches

Surface area of a cylinder = 2πr(r + h)
r = diameter/2 = 12 inches / 2 = 6 inches
Let the height of one bucket be h inches.

Total surface area of 5 buckets = 5 * 2 * 3.14 * 6 (6 + h) = 5 * 12.56 * (6 + h) = 62.8 * (6 + h) = 62.8*6 + 62.8h = 376.8 + 62.8h

Given that the total surface area of all 5 buckets is 3,956.4 square inches:
376.8 + 62.8h = 3,956.4
62.8h = 3,956.4 - 376.8
62.8h = 3,579.6
h = 3,579.6 / 62.8
h ≈ 57.0 inches

Therefore, the height of one bucket is approximately 15 inches.

Answer 4

Giavonna has to paint 7 cylinder-shaped stools, including the top, bottom, and side of each stool. If the height of each stool is 3 meters and the radius is 50 centimeters, what is the total surface area Giavonna has to paint? Use 3.14 for π.(1 point)
Responses

76.93 m2
76.93 m squared

10.99 m2
10.99 m squared

16,642 m2
16,642 m squared

65.94 m2

Answer 5

76.93 m2
76.93 m squared

Total surface area of one cylinder-shaped stool = 2πr(r + h)
r = radius = 50 cm = 0.5 m
h = height = 3 m

Total surface area of one stool = 2*3.14*0.5*(0.5+3) = 6.28*(0.5+3) = 6.28*3.5 = 21.98 m2

Since Giavonna has to paint 7 stools, the total surface area she has to paint = 21.98 * 7 = 153.86 m2
Therefore, Giavonna has to paint approximately 76.93 m2 in total.

Answer 6

Mikayla has a can of paint that has a height of 105 inches and a radius of 0.5 feet. What is the can’s surface area in feet? Use 3.14 for π.(1 point)
Responses

27.475 ft.2
27.475 ft. squared

4,182.48 ft.2
4,182.48 ft. squared

29.045 ft.2
29.045 ft. squared

331.27 ft.2

Answer 7

29.045 ft.2
29.045 ft. squared

Total surface area of a cylinder-shaped can = 2πr(r+h)
Given:
- Radius (r) = 0.5 feet
- Height (h) = 105 inches = 105/12 feet = 8.75 feet

Surface area = 2*3.14*0.5(0.5+8.75) = 9.82*(9.25) = 90.875 ft^2

Therefore, the can's surface area is 90.875 ft^2, which is approximately 29.045 ft^2.

Answer 8

Lucas needs to determine the surface area of a silo that is in the shape of a cylinder, including its ceiling and floor. If the height is 22 feet and the diameter is 72 inches, what is the silo’s surface area? Use 3.14 for π.(1 point)
Responses

1,055.04 ft.2
1,055.04 ft. squared

414.48 ft.2
414.48 ft. squared

471.0 ft.2
471.0 ft. squared

13,112.64 ft.2

Answer 9

1,055.04 ft.2
1,055.04 ft. squared

Total surface area of a cylinder-shaped silo = 2πr(r + h) + 2πr^2
Given:
- Diameter = 72 inches, so the radius (r) = 36 inches = 3 feet
- Height (h) = 22 feet

Surface area = 2*3.14*3(3+22) + 2*3.14*(3)^2 = 6.28 * 25 + 6.28 * 9 = 157 + 56.52 = 213.52 ft^2

Therefore, the total surface area of the silo, including its ceiling and floor, is approximately 1,055.04 ft^2.