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.
The circumference of the base of a cylinder is 198 cm and its height i...