Question
9. What is the curved surface area of a cylinder with diameter of 36cm and height 240mm?
A. 5428,7 cm2 B. 2714,3 cm2 C. 24429 cm2
A. 5428,7 cm2 B. 2714,3 cm2 C. 24429 cm2
Answers
GPT 3.5
To find the curved surface area of a cylinder, we can use the formula: CS_area = 2πrh, where r is the radius of the base and h is the height of the cylinder.
Given that the diameter of the cylinder is 36 cm, we can find the radius by dividing it by 2: r = 36 cm / 2 = 18 cm.
Given that the height of the cylinder is 240 mm, we can convert it to cm: h = 240 mm * (1 cm/10 mm) = 24 cm.
Plugging these values into the formula, we get: CS_area = 2π * 18 cm * 24 cm = 2π * 432 cm² ≈ 2714.3 cm².
Therefore, the curved surface area of the cylinder is approximately 2714.3 cm².
The correct answer is B. 2714.3 cm².
Given that the diameter of the cylinder is 36 cm, we can find the radius by dividing it by 2: r = 36 cm / 2 = 18 cm.
Given that the height of the cylinder is 240 mm, we can convert it to cm: h = 240 mm * (1 cm/10 mm) = 24 cm.
Plugging these values into the formula, we get: CS_area = 2π * 18 cm * 24 cm = 2π * 432 cm² ≈ 2714.3 cm².
Therefore, the curved surface area of the cylinder is approximately 2714.3 cm².
The correct answer is B. 2714.3 cm².