Question

If a right circular cylinder has base radius 14 cm and height 21 cm, then its curved surface area is:

• A. 924 cm\(^2\)
• B. 2772 cm\(^2\)
• C. 3080 cm\(^2\)
• D. 1848 cm\(^2\)

Hint:

To calculate the curved surface area of a cylinder, use the formula \(2\pi rh\), where \(r\) is the radius and \(h\) is the height.

Answer 1

The Correct Option is D

The formula for the curved surface area of a right circular cylinder is: \[ \text{Curved surface area} = 2\pi rh \] where \(r\) is the radius and \(h\) is the height. Given \(r = 14 \, \text{cm}\) and \(h = 21 \, \text{cm}\), and using \(\pi = \frac{22}{7}\), we calculate: \[ \text{Curved surface area} = 2 \times \frac{22}{7} \times 14 \times 21 = 1848 \, \text{cm}^2 \] Thus, the correct answer is option (4).