Volume of cylinder from curved surface area and height: A cylinder has height 14 cm and curved surface area 264 cm2. Find its volume (in cm3). Use π = 22/7.

Introduction / Context:From curved surface area (CSA) we can find the radius, and then compute the cylinder’s volume. This checks correct use of CSA and volume formulas with π = 22/7.

Given Data / Assumptions:

• Height h = 14 cm
• CSA = 264 cm2
• CSA = 2π r h; Volume V = π r^2 h
• π = 22/7

Concept / Approach:

• Find r from r = CSA / (2πh); then compute V.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 308/1232/1448 cm3: Result from wrong r or using total surface area mistakenly.

Common Pitfalls:

• Using total surface area formula instead of CSA.
• Not simplifying the fraction with π = 22/7 cleanly.

Final Answer:

396 cm3