Multiple choice

The radius and height of a cylinder are in the ratio 6 : 7 and its volume is 792 cm3. Calculate its curved surface area in cm2.

  1. 490

  2. 226

  3. 264

  4. 262
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let radius r = 6x and height h = 7x. Volume V = pi * r^2 * h = pi * (6x)^2 * (7x) = 252 * pi * x^3 = 792. Solving for x^3 gives x^3 = 792 / (252 * pi) approximately 1. Solving for x and then calculating curved surface area 2 * pi * r * h = 2 * pi * (6x) * (7x) = 84 * pi * x^2 yields 264.

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