Question

Calculate the surface area of the cylinder. Give both exact and approximate answers. Round the approximate answer to the nearest hundredth. Use π=3.14.

an illustration of a circular prism with a radius of 13 cm and 7.5 cm

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Surface Area = 2πrh + 2πr^2

Where:
r = radius of the cylinder
h = height of the cylinder

Given:
r = 13 cm
h = 7.5 cm

Plugging in the values:
Surface Area = 2(3.14)(13)(7.5) + 2(3.14)(13)^2
Surface Area = 471 + 1013.04
Surface Area = 1484.04 square cm

Exact answer: 1484.04 square cm

Approximate answer: 1484.04 square cm ≈ 1484.04 square cm

Therefore, the surface area of the cylinder is approximately 1484.04 square cm.

Answer 2

the excact asnwer is wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the mistake in the exact answer calculation. Let's correct that:

Surface Area = 2πrh + 2πr^2

Given:
r = 13 cm
h = 7.5 cm

Plugging in the values:
Surface Area = 2(3.14)(13)(7.5) + 2(3.14)(13)^2
Surface Area = 2(3.14)(13)(7.5) + 2(3.14)(169)
Surface Area = 2(3.14)(97.5) + 2(530.66)
Surface Area = 611.82 + 1061.32
Surface Area = 1673.14 square cm

Correct exact answer: 1673.14 square cm

Approximate answer: 1673.14 square cm ≈ 1673.14 square cm

Therefore, the correct surface area of the cylinder is approximately 1673.14 square cm. Thank you for bringing the mistake to my attention.