Question

The Curved Surface Area of a right circular cylinder of base radius r is obtained by multiplying its volume:

• A. 2r²
• B. \(\frac{2}{r^2}\)
• C. 2r
• D. \(\frac{2}{r}\)

Answer 1

The Correct Option is D

The problem involves the relationship between the volume and curved surface area of a right circular cylinder. The Curved Surface Area (CSA) of a cylinder is given by the formula:

\(CSA = 2\pi rh\)

where \(r\) is the base radius and \(h\) is the height of the cylinder.

The volume \(V\) of a cylinder is:

\(V = \pi r^2 h\)

According to the problem, by dividing the CSA by the volume, we can find the multiplier:

\(\frac{CSA}{V} = \frac{2\pi rh}{\pi r^2 h} = \frac{2}{r}\)

Therefore, the correct answer is \(\frac{2}{r}\).