Which of the following is the correct formula for finding the surface area of a cylinder?(1 point)

Question

Responses

SA = πr2
SA = πr2

SA = 2πrh
SA = 2πrh

SA = 2πr2+2πrh
SA = 2πr2+2πrh

SA = 2lw + 2lh + 2wh

Answer 1

SA = 2πr2+2πrh

Answer 2

Find the surface area of the cylinder net.

Surface Area = 2πr2+2πrh

Use π = 3.14

(1 point)
Responses

1318.8 in2
1318.8 in squared

659.4 in2
659.4 in squared

923.16 in2
923.16 in squared

2461.76 in2

Answer 3

To find the surface area of the cylinder, we need the radius (r) and height (h) of the cylinder.

Let's say r = 5 inches and h = 8 inches

Using the formula: Surface Area = 2 * π * r^2 + 2 * π * r * h

Substitute r = 5 and h = 8

Surface Area = 2 * 3.14 * 5^2 + 2 * 3.14 * 5 * 8
Surface Area = 2 * 3.14 * 25 + 2 * 3.14 * 40
Surface Area = 6.28 * 25 + 6.28 * 40
Surface Area = 157 + 251.2
Surface Area = 408.2 square inches

So, the correct answer is not provided in the choices, but the surface area of the cylinder would be 408.2 in².

Answer 4

Find the surface area. Use 3.14 for π. Round to the nearest whole number.

SA = 2πr2+2πrh

circle: 20 cm
rectangle: 20 cm

(1 point)
Responses

5024 cm2
5024 cm squared

1884 cm2
1884 cm squared

788,768 cm2
788,768 cm squared

628 cm2

Answer 5

Given:
Radius (r) = 20 cm
Height (h) = 20 cm

Using the formula:
Surface Area = 2πr^2 + 2πrh

Substitute the values:
Surface Area = 2 * 3.14 * 20^2 + 2 * 3.14 * 20 * 20
Surface Area = 2 * 3.14 * 400 + 2 * 3.14 * 400
Surface Area = 2512 + 2512
Surface Area = 5024 cm^2

Rounding to the nearest whole number:
Surface Area = 5024 cm^2

Therefore, the correct response is:
5024 cm2

Answer 6

A can of soup in the shape of a cylinder is 10 centimeters tall and has a radius of 3 centimeters. A label covers the entire can expect for the top and bottom.

What is the surface area of the label? Round your answer to the nearest tenth.

You can construct a net of this cylinder on your paper to help determine the area covered by just the label.

​Surface Area of Cylinder: SA = 2πr2+2πrh
(1 point)
Responses

28.3 cm2
28.3 cm squared

56.5 cm2
56.5 cm squared

188.4 cm2
188.4 cm squared

244.9 cm2

Answer 7

Given:
Radius (r) = 3 cm
Height (h) = 10 cm

Using the formula for the surface area of a cylinder:
Surface Area = 2πr^2 + 2πrh

Substitute the values:
Surface Area = 2 * 3.14 * 3^2 + 2 * 3.14 * 3 * 10
Surface Area = 2 * 3.14 * 9 + 2 * 3.14 * 30
Surface Area = 56.52 + 188.4
Surface Area = 244.92 cm^2

Rounding to the nearest tenth:
Surface Area ≈ 244.9 cm^2

Therefore, the surface area of the label is 244.9 cm^2.