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The circumference of the base of a cylinder is 198 cm and its height is 30 cm. What is the curved surface area of the cylinder?
- a)5240 cm2
- b)5940 cm2
- c)5640 cm2
- d)5340 cm2
Correct answer is option 'B'. Can you explain this answer?
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The circumference of the base of a cylinder is 198 cm and its height i...
Given:
Circumference of the base of the cylinder = 198 cm
Height of the cylinder = 30 cm
To find:
Curved surface area of the cylinder
Solution:
First, let's find the radius of the base of the cylinder using the circumference formula:
Circumference = 2πr
Given that the circumference is 198 cm, we can equate it to 2πr:
198 = 2πr
Dividing both sides by 2π, we get:
r = 198 / (2π)
Now, let's calculate the curved surface area of the cylinder:
Curved surface area = 2πrh
Substituting the given values, we get:
Curved surface area = 2π * (198 / (2π)) * 30
Simplifying further, we have:
Curved surface area = 198 * 30
Curved surface area = 5940 cm²
Therefore, the curved surface area of the cylinder is 5940 cm², which corresponds to option B.
Circumference of the base of the cylinder = 198 cm
Height of the cylinder = 30 cm
To find:
Curved surface area of the cylinder
Solution:
First, let's find the radius of the base of the cylinder using the circumference formula:
Circumference = 2πr
Given that the circumference is 198 cm, we can equate it to 2πr:
198 = 2πr
Dividing both sides by 2π, we get:
r = 198 / (2π)
Now, let's calculate the curved surface area of the cylinder:
Curved surface area = 2πrh
Substituting the given values, we get:
Curved surface area = 2π * (198 / (2π)) * 30
Simplifying further, we have:
Curved surface area = 198 * 30
Curved surface area = 5940 cm²
Therefore, the curved surface area of the cylinder is 5940 cm², which corresponds to option B.
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The circumference of the base of a cylinder is 198 cm and its height is 30 cm. What is the curved surface area of the cylinder?a)5240 cm2b)5940 cm2c)5640 cm2d)5340 cm2Correct answer is option 'B'. Can you explain this answer?
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