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.
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
3 answers
the excact asnwer is wrong
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.
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.
1 answer