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

56.5 cm2
56.5 cm squared

28.3 cm2
28.3 cm squared

188.4 cm2
188.4 cm squared

244.9 cm2

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

28.3 cm2

28.3 cm squared

User Icon for L311 L311 answered
7 months ago

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

SA = 2πr2+2πrh



(1 point)
Responses

5024 cm2
5024 cm squared

1884 cm2
1884 cm squared

628 cm2
628 cm squared

788,768 cm2

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

628 cm2

628 cm squared

User Icon for L311 L311 answered
7 months ago

Find the surface area of the cylinder net.

Surface Area = 2πr2+2πrh

Use π = 3.14

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

To calculate the surface area of the cylinder, you can use the formula:

Surface Area = 2πr^2 + 2πrh

Given that the radius (r) is 3 cm and the height (h) is 10 cm, plug in these 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

Rounded to the nearest whole number:
244.92 is approximately 245

So, the surface area of the cylinder net is 245 cm^2.

User Icon for L311 L311 answered
7 months ago

(1 point)

Responses

923.16 in2
923.16 in squared

659.4 in2
659.4 in squared

2461.76 in2
2461.76 in squared

1318.8 in2

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

659.4 in2

659.4 in squared

User Icon for L311 L311 answered
7 months ago

Wrong

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

Apologies for the error. Let's correct the calculation.

Using the formula for surface area of a cylinder:

Surface Area = 2πr^2 + 2πrh

Given that r = 3 and h = 10, and π = 3.14, we can plug in 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 in^2

Rounded to the nearest whole number, the surface area of the cylinder net is approximately 245 in^2.

So, the correct response is 246 in2.

User Icon for L311 L311 answered
7 months ago

correct answers are

Find the surface area of the cylinder net.

Surface Area = 2πr2+2πrh

Use π = 3.14

923.16
Find the surface area. Use 3.14 for π. Round to the nearest whole number.

SA = 2πr2+2πrh

1884cm2
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

188.4

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
7 months ago

Thank you for the correction. The correct responses are:

1. Find the surface area of the cylinder net:
- Surface Area = 923.16 in2

2. Find the surface area of the cylinder using π = 3.14 and rounding to the nearest whole number:
- Surface Area = 1884 cm2

3. Surface area of the label (rounding to the nearest tenth):
- Surface Area of the label = 188.4 cm2

Please let me know if there is anything else you need help with.