The curved surface area of a cylinder is $484 ext{ sq. cm}$. If the height of the cylinder is $7 ext{ cm}$,

Question

The curved surface area of a cylinder is $484	ext{ sq. cm}$. If the height of the cylinder is $7	ext{ cm}$, then what is the volume of the cylinder (in cubic cm)? (Use $\pi = \frac{22}{7}$)

Examoogle · Accepted Answer

The correct answer is Option A: 2662. Calculate radius using CSA/2πh = 484 / (2 * (22/7) * 7) = 484/44 = 11. Then volume is π * 11² * 7. Since π = 22/7, the 7s cancel out, leaving 22 * 121 = 2662.

Step-by-Step Solution & Concepts:
Shortcut Trick: Calculate radius using CSA/2πh = 484 / (2 * (22/7) * 7) = 484/44 = 11. Then volume is π * 11² * 7. Since π = 22/7, the 7s cancel out, leaving 22 * 121 = 2662.

Formula Used: $$CSA = 2\pi rh$$, $$V = \pi r^2h$$

Given: Curved surface area of a cylinder = 484 sq. cm, height h = 7 cm, π = 22/7

Steps: Calculate the radius of the cylinder: Given the curved surface area (CSA) formula $CSA = 2\pi rh$, substitute the known values to solve for $r$.. Calculate the volume of the cylinder: Use the volume formula $V = \pi r^2h$ and substitute the values $r = 11$ and $h = 7$.. Solve for final result: Cancel the 7s and compute the final value: $22 	imes 121$.

Answer: A is correct because the volume of the cylinder is 2662 cubic cm.

Exam Tip: This type of problem frequently appears in RRB and SSC exams; always remember that in CSA questions, the height is often given to simplify the division.

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