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

1 answer

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.